Algebra/Unit 6 Quiz 2/Objective 9
Inverse 1
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Find«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»inverse«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»m«/mi»«mtext»x«/mtext»«mo»+«/mo»«mo»#«/mo»«mi»b«/mi»«/math»]]>
2.0000000
0.3333333
0
0
#sol
f(x)=#sol]]>
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mi»i«/mi»«mi»s«/mi»«mo»§#160;«/mo»«mi»a«/mi»«mi»l«/mi»«mi»r«/mi»«mi»e«/mi»«mi»a«/mi»«mi»d«/mi»«mi»y«/mi»«mo»§#160;«/mo»«mi»d«/mi»«mi»e«/mi»«mi»f«/mi»«mi»i«/mi»«mi»n«/mi»«mi»e«/mi»«mi»d«/mi»«mo».«/mo»«mspace linebreak=¨newline¨/»«mi»S«/mi»«mi»h«/mi»«mi»o«/mi»«mi»u«/mi»«mi»l«/mi»«mi»d«/mi»«mo»§#160;«/mo»«mi»u«/mi»«mi»s«/mi»«mi»e«/mi»«mo»§#160;«/mo»«msup»«mi»f«/mi»«mrow»«mo»-«/mo»«mn»1«/mn»«/mrow»«/msup»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«/math»]]>
f-1(x)=#sol]]>
y=#sol]]>
Be consistent with notation.]]>
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>m</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>8</mn><mo>,</mo><mn>8</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>30</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>m</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>m</mi><mo>≠</mo><mn>1</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mfrac><mrow><mi>x</mi><mo>-</mo><mi>b</mi></mrow><mi>m</mi></mfrac></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer>#sol</correctAnswer><correctAnswer id="1" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="2" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>f</mi><mrow><mo>-</mo><mn>1</mn></mrow></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="3" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/><assertion name="syntax_expression" correctAnswer="1"/><assertion name="equivalent_symbolic" correctAnswer="1"/><assertion name="syntax_expression" correctAnswer="2"/><assertion name="equivalent_symbolic" correctAnswer="2"/><assertion name="syntax_expression" correctAnswer="3"/><assertion name="equivalent_symbolic" correctAnswer="3"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"></data></localData></question>
Inverse 2
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Find«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»inverse«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»m«/mi»«mtext»x-«/mtext»«mo»#«/mo»«mi»b«/mi»«/math»]]>
2.0000000
0.3333333
0
0
#sol
f(x)=#sol]]>
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mi»i«/mi»«mi»s«/mi»«mo»§#160;«/mo»«mi»a«/mi»«mi»l«/mi»«mi»r«/mi»«mi»e«/mi»«mi»a«/mi»«mi»d«/mi»«mi»y«/mi»«mo»§#160;«/mo»«mi»d«/mi»«mi»e«/mi»«mi»f«/mi»«mi»i«/mi»«mi»n«/mi»«mi»e«/mi»«mi»d«/mi»«mo».«/mo»«mspace linebreak=¨newline¨/»«mi»S«/mi»«mi»h«/mi»«mi»o«/mi»«mi»u«/mi»«mi»l«/mi»«mi»d«/mi»«mo»§#160;«/mo»«mi»u«/mi»«mi»s«/mi»«mi»e«/mi»«mo»§#160;«/mo»«msup»«mi»f«/mi»«mrow»«mo»-«/mo»«mn»1«/mn»«/mrow»«/msup»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«/math»]]>
f-1(x)=#sol]]>
y=#sol]]>
Be consistent with notation.]]>
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>m</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>8</mn><mo>,</mo><mn>8</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>30</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>m</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>m</mi><mo>≠</mo><mn>1</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mfrac><mrow><mi>x</mi><mo>+</mo><mi>b</mi></mrow><mi>m</mi></mfrac></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer>#sol</correctAnswer><correctAnswer id="1" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="2" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>f</mi><mrow><mo>-</mo><mn>1</mn></mrow></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="3" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression" correctAnswer="1"/><assertion name="equivalent_symbolic" correctAnswer="1"/><assertion name="syntax_expression" correctAnswer="2"/><assertion name="equivalent_symbolic" correctAnswer="2"/><assertion name="syntax_expression" correctAnswer="3"/><assertion name="equivalent_symbolic" correctAnswer="3"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"></data></localData></question>
Inverse 3 even
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Find«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»inverse«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«msup»«mtext»x«/mtext»«mrow»«mo»#«/mo»«mi»n«/mi»«/mrow»«/msup»«/math»]]>
2.0000000
0.3333333
0
0
±#sol]]>
f(x)=±#sol]]>
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mi»i«/mi»«mi»s«/mi»«mo»§#160;«/mo»«mi»a«/mi»«mi»l«/mi»«mi»r«/mi»«mi»e«/mi»«mi»a«/mi»«mi»d«/mi»«mi»y«/mi»«mo»§#160;«/mo»«mi»d«/mi»«mi»e«/mi»«mi»f«/mi»«mi»i«/mi»«mi»n«/mi»«mi»e«/mi»«mi»d«/mi»«mo».«/mo»«mspace linebreak=¨newline¨/»«mi»S«/mi»«mi»h«/mi»«mi»o«/mi»«mi»u«/mi»«mi»l«/mi»«mi»d«/mi»«mo»§#160;«/mo»«mi»u«/mi»«mi»s«/mi»«mi»e«/mi»«mo»§#160;«/mo»«msup»«mi»f«/mi»«mrow»«mo»-«/mo»«mn»1«/mn»«/mrow»«/msup»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«/math»]]>
f-1(x)=±#sol]]>
y=±#sol]]>
Be consistent with notation.]]>
#sol
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Forgot«/mi»«mo»§#160;«/mo»«mo»§#177;«/mo»«/math»]]>
f-1(x)=#sol]]>
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Forgot«/mi»«mo»§#160;«/mo»«mo»§#177;«/mo»«/math»]]>
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>8</mn><mo>,</mo><mn>8</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>n</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>4</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>a</mi><mo>≠</mo><mn>1</mn><mo>∧</mo><mi>a</mi><mo>≠</mo><mo>-</mo><mn>1</mn><mo>∧</mo><mi>n</mi><mo>≠</mo><mn>3</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mroot><mfrac><mi>x</mi><mi>a</mi></mfrac><mi>n</mi></mroot></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>±</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>±</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="2" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>f</mi><mrow><mo>-</mo><mn>1</mn></mrow></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>±</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="3" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mo>±</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="4">#sol</correctAnswer><correctAnswer id="5" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>f</mi><mrow><mo>-</mo><mn>1</mn></mrow></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="6"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/><assertion name="syntax_expression" correctAnswer="1"/><assertion name="equivalent_symbolic" correctAnswer="1"/><assertion name="syntax_expression" correctAnswer="2"/><assertion name="equivalent_symbolic" correctAnswer="2"/><assertion name="syntax_expression" correctAnswer="3"/><assertion name="equivalent_symbolic" correctAnswer="3"/><assertion name="syntax_expression" correctAnswer="4"/><assertion name="equivalent_symbolic" correctAnswer="4"/><assertion name="syntax_expression" correctAnswer="5"/><assertion name="equivalent_symbolic" correctAnswer="5"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"></data></localData></question>
Inverse 3 odd
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Find«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»inverse«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«msup»«mtext»x«/mtext»«mrow»«mo»#«/mo»«mi»n«/mi»«/mrow»«/msup»«/math»]]>
2.0000000
0.3333333
0
0
#sol
f(x)=#sol]]>
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mi»i«/mi»«mi»s«/mi»«mo»§#160;«/mo»«mi»a«/mi»«mi»l«/mi»«mi»r«/mi»«mi»e«/mi»«mi»a«/mi»«mi»d«/mi»«mi»y«/mi»«mo»§#160;«/mo»«mi»d«/mi»«mi»e«/mi»«mi»f«/mi»«mi»i«/mi»«mi»n«/mi»«mi»e«/mi»«mi»d«/mi»«mo».«/mo»«mspace linebreak=¨newline¨/»«mi»S«/mi»«mi»h«/mi»«mi»o«/mi»«mi»u«/mi»«mi»l«/mi»«mi»d«/mi»«mo»§#160;«/mo»«mi»u«/mi»«mi»s«/mi»«mi»e«/mi»«mo»§#160;«/mo»«msup»«mi»f«/mi»«mrow»«mo»-«/mo»«mn»1«/mn»«/mrow»«/msup»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«/math»]]>
f-1(x)=#sol]]>
y=#sol]]>
Be consistent with notation.]]>
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>8</mn><mo>,</mo><mn>8</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>n</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>3</mn><mo>,</mo><mn>5</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>a</mi><mo>≠</mo><mn>1</mn><mo>∧</mo><mi>a</mi><mo>≠</mo><mo>-</mo><mn>1</mn><mo>∧</mo><mi>n</mi><mo>≠</mo><mn>4</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mroot><mfrac><mi>x</mi><mi>a</mi></mfrac><mi>n</mi></mroot></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="2" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>f</mi><mrow><mo>-</mo><mn>1</mn></mrow></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="3" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression" correctAnswer="1"/><assertion name="equivalent_symbolic" correctAnswer="1"/><assertion name="syntax_expression" correctAnswer="2"/><assertion name="equivalent_symbolic" correctAnswer="2"/><assertion name="syntax_expression" correctAnswer="3"/><assertion name="equivalent_symbolic" correctAnswer="3"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>
Inverse 4 even
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Find«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»inverse«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«msup»«mtext»x«/mtext»«mrow»«mo»#«/mo»«mi»n«/mi»«/mrow»«/msup»«mo»+«/mo»«mo»#«/mo»«mi»b«/mi»«/math»]]>
2.0000000
0.3333333
0
0
±#sol]]>
f(x)=±#sol]]>
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mi»i«/mi»«mi»s«/mi»«mo»§#160;«/mo»«mi»a«/mi»«mi»l«/mi»«mi»r«/mi»«mi»e«/mi»«mi»a«/mi»«mi»d«/mi»«mi»y«/mi»«mo»§#160;«/mo»«mi»d«/mi»«mi»e«/mi»«mi»f«/mi»«mi»i«/mi»«mi»n«/mi»«mi»e«/mi»«mi»d«/mi»«mo».«/mo»«mspace linebreak=¨newline¨/»«mi»S«/mi»«mi»h«/mi»«mi»o«/mi»«mi»u«/mi»«mi»l«/mi»«mi»d«/mi»«mo»§#160;«/mo»«mi»u«/mi»«mi»s«/mi»«mi»e«/mi»«mo»§#160;«/mo»«msup»«mi»f«/mi»«mrow»«mo»-«/mo»«mn»1«/mn»«/mrow»«/msup»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«/math»]]>
f-1(x)=±#sol]]>
y=±#sol]]>
Be consistent with notation.]]>
#sol
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Forgot«/mi»«mo»§#160;«/mo»«mo»§#177;«/mo»«/math»]]>
f-1(x)=#sol]]>
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Forgot«/mi»«mo»§#160;«/mo»«mo»§#177;«/mo»«/math»]]>
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>8</mn><mo>,</mo><mn>8</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>n</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>4</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>12</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>a</mi><mo>≠</mo><mn>1</mn><mo>∧</mo><mi>a</mi><mo>≠</mo><mo>-</mo><mn>1</mn><mo>∧</mo><mi>n</mi><mo>≠</mo><mn>3</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mroot><mfrac><mrow><mi>x</mi><mo>-</mo><mi>b</mi></mrow><mi>a</mi></mfrac><mi>n</mi></mroot></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>±</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>±</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="2" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>f</mi><mrow><mo>-</mo><mn>1</mn></mrow></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>±</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="3" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mo>±</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="4">#sol</correctAnswer><correctAnswer id="5" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>f</mi><mrow><mo>-</mo><mn>1</mn></mrow></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="6"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression" correctAnswer="1"/><assertion name="equivalent_symbolic" correctAnswer="1"/><assertion name="syntax_expression" correctAnswer="2"/><assertion name="equivalent_symbolic" correctAnswer="2"/><assertion name="syntax_expression" correctAnswer="3"/><assertion name="equivalent_symbolic" correctAnswer="3"/><assertion name="syntax_expression" correctAnswer="4"/><assertion name="equivalent_symbolic" correctAnswer="4"/><assertion name="syntax_expression" correctAnswer="5"/><assertion name="equivalent_symbolic" correctAnswer="5"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>
Inverse 4 odd
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Find«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»inverse«/mi»«mo»§#160;«/mo»«mi»of«/mi»«mo»§#160;«/mo»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»a«/mi»«msup»«mtext»x«/mtext»«mrow»«mo»#«/mo»«mi»n«/mi»«/mrow»«/msup»«mtext»-«/mtext»«mo»#«/mo»«mi»b«/mi»«/math»]]>
2.0000000
0.3333333
0
0
#sol
f(x)=#sol]]>
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mi»i«/mi»«mi»s«/mi»«mo»§#160;«/mo»«mi»a«/mi»«mi»l«/mi»«mi»r«/mi»«mi»e«/mi»«mi»a«/mi»«mi»d«/mi»«mi»y«/mi»«mo»§#160;«/mo»«mi»d«/mi»«mi»e«/mi»«mi»f«/mi»«mi»i«/mi»«mi»n«/mi»«mi»e«/mi»«mi»d«/mi»«mo».«/mo»«mspace linebreak=¨newline¨/»«mi»S«/mi»«mi»h«/mi»«mi»o«/mi»«mi»u«/mi»«mi»l«/mi»«mi»d«/mi»«mo»§#160;«/mo»«mi»u«/mi»«mi»s«/mi»«mi»e«/mi»«mo»§#160;«/mo»«msup»«mi»f«/mi»«mrow»«mo»-«/mo»«mn»1«/mn»«/mrow»«/msup»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«/math»]]>
f-1(x)=#sol]]>
y=#sol]]>
Be consistent with notation.]]>
<question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>8</mn><mo>,</mo><mn>8</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>n</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>3</mn><mo>,</mo><mn>5</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>12</mn><mo>)</mo></mtd></mtr></mtable><mrow><mi>a</mi><mo>≠</mo><mn>0</mn><mo>∧</mo><mi>a</mi><mo>≠</mo><mn>1</mn><mo>∧</mo><mi>a</mi><mo>≠</mo><mo>-</mo><mn>1</mn><mo>∧</mo><mi>n</mi><mo>≠</mo><mn>4</mn></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mroot><mfrac><mrow><mi>x</mi><mo>+</mo><mi>b</mi></mrow><mi>a</mi></mfrac><mi>n</mi></mroot></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="1" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="2" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>f</mi><mrow><mo>-</mo><mn>1</mn></mrow></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer><correctAnswer id="3" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression" correctAnswer="1"/><assertion name="equivalent_symbolic" correctAnswer="1"/><assertion name="syntax_expression" correctAnswer="2"/><assertion name="equivalent_symbolic" correctAnswer="2"/><assertion name="syntax_expression" correctAnswer="3"/><assertion name="equivalent_symbolic" correctAnswer="3"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>