Algebra s1v2-3(10) Se dă functia f : R «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8594;«/mo»«/math» ( b, «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8734;«/mo»«mo»)«/mo»«/math» , f(x) = #a«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#183;«/mo»«msup»«mi»e«/mi»«mi»x«/mi»«/msup»«mo»§#160;«/mo»«mo»+«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»b«/mi»«/math»

1) Valoarea lui b astfel incât f să fie surjectivă este : {#1}

2) Pentru b determinat la 1), f este bijectivă si f^-1(x) = {#2}

]]> 2.0000000 0.3333333 0 <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"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>inv</mi><mo>=</mo><mi>ln</mi><mo>(</mo><mfrac><mrow><mi>x</mi><mo>-</mo><mi>b</mi></mrow><mi>a</mi></mfrac><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>inv</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ln</mi><mfenced><mrow><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>*</mo><mi>x</mi><mo>-</mo><mn>1</mn></mrow></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer></correctAnswer></correctAnswers><options><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="casSession"></data></localData></question>