Question 929552
First replace f(x) with y. Afterwards, swap x and y. Then solve for y to get the inverse.



*[Tex \LARGE f(x) = \frac{1}{3}\log(5x)]



*[Tex \LARGE y = \frac{1}{3}\log(5x)]



*[Tex \LARGE x = \frac{1}{3}\log(5y)]



*[Tex \LARGE 3x = \log(5y)]



*[Tex \LARGE 10^{3x} = 5y]



*[Tex \LARGE 5y = 10^{3x}]



*[Tex \LARGE y = \frac{10^{3x}}{5}]



*[Tex \LARGE f^{-1}(x) = \frac{10^{3x}}{5}]
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