QuestionFind the inverse of the function $f(x)=8x-4$. Choose the correct option for $f^{-1}(x)$.

Studdy Solution
We replace $y$ with $f^{-1}(x)$ to denote that this is the inverse function.
$$f^{-1}(x)=\frac{1}{8}x+\frac{1}{2}$$The inverse of the function $f(x)=8x-4$ is $f^{-1}(x)=\frac{1}{8}x+\frac{1}{2}$.
So, the correct answer is (b) $f^{-1}(x)=\frac{1}{8}x+\frac{1}{2}$.