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Math  /  Algebra

QuestionFind the inverse for each of the following functions. f(x)=15x+12f−1(x)=□g(x)=6x3−3g−1(x)=h(x)=15x+3h−1(x)=□j(x)=x+63j−1(x)=□\begin{array}{l} f(x)=15 x+12 \\ f^{-1}(x)=\square \\ g(x)=6 x^{3}-3 \\ g^{-1}(x)= \\ h(x)=\frac{15}{x+3} \\ h^{-1}(x)=\square \\ j(x)=\sqrt[3]{x+6} \\ j^{-1}(x)=\square \end{array} □\square □\square □\square □\square

Studdy Solution
The inverse function is:
j−1(x)=x3−6 j^{-1}(x) = x^3 - 6
The inverses of the functions are:
f−1(x)=x−1215 f^{-1}(x) = \frac{x - 12}{15} g−1(x)=x+363 g^{-1}(x) = \sqrt[3]{\frac{x + 3}{6}} h−1(x)=15−3xx h^{-1}(x) = \frac{15 - 3x}{x} j−1(x)=x3−6 j^{-1}(x) = x^3 - 6

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