Chapter 4.7, Problem 3AGP

To determine

To find: inverse of the given function.

Explanation of Solution

Given information:

Consider $f(x)=4x-12$

Inverse function reverses the another function.

  $\begin{array}{l}y=f(x)=4x-12\\ y=4x-12\\ 4x=y+12\\ x=\frac{y}{4}+3\\ f^{-1}(y)=\frac{y}{4}+3\\ f^{-1}(x)=\frac{x}{4}+3\end{array}$

Hence, inverse of the given function is $f^{-1}(x)=\frac{x}{4}+3$