Question 1

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Given space f left parenthesis x right parenthesis equals 5 text x end text to the power of bevelled fraction numerator 1 over denominator 5 end fraction end exponent plus 12 text x end text to the power of bevelled fraction numerator 1 over denominator 4 end fraction end exponent space and space g left parenthesis x right parenthesis equals negative 5 text x end text to the power of bevelled fraction numerator 1 over denominator 5 end fraction end exponent plus 12 text x end text to the power of bevelled fraction numerator 1 over denominator 4 end fraction end exponent

Find space f left parenthesis x right parenthesis minus g left parenthesis x right parenthesis space and space state space the space domain.

To space help space you space know space how space to space answer space the space domain space part comma space look space at space the
examples space below colon

straight real numbers space means space all space real space numbers
straight x greater-than or slanted equal to 0 space means space all space positive space numbers
straight x not equal to 2 space means space all space real space numbers space except space when space straight x equals 2

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