In this exercise, we will find the formula for the inverse of the function: $$f(x) = 6x - 4$$ For this function $f$ and its inverse $f^{-1}\text{,}$ it must be true that: $$f\mathopen{}\left(f^{-1}(x)\right)\mathclose{} = x$$ We can use this fact to actually solve for the function $f^{-1}\text{.}$ We will use function composition to simplify the following equation, just writing the expression $f^{-1}(x)$ as the input of the function $f\text{:}$ $$\begin{aligned} f\mathopen{}\left(f^{-1}(x)\right)\mathclose{} \amp= x\\ 6f^{-1}(x) - 4 \amp= x \end{aligned}$$ We are trying to find the function $f^{-1}(x)\text{.}$ We can treat $f^{-1}(x)$ as a variable in the last equation and solve for it by using algebra. Answer: $f^{-1}(x) =$