Chapter 4.7, Problem 4BGP

To determine

To find: The quantities represented by x and $C^{-1}(x)$ in the context of the inverse function.

Answer to Problem 4BGP

In the inverse function, x represents the total cost and $C^{-1}(x)$ represents the number of miles Peggy drives.

Explanation of Solution

Given information: The function is $C(x)=24.99+0.3x$ . Where x represents the number of hours Peggy drives and $C(x)$ represents the total cost.

While finding the inverse of the function all x are swapped with $C(x)$ and all $C(x)$ with x. Thus the meaning of variable x and $C(x)$ are interchanged. Then equation is solved for $C(x)$ and $C(x)$ is replaced with $C^{-1}(x)$

Hence in context of inverse of a function $C(x)$ , x will represent the total cost and $C^{-1}(x)$ the number of hours Peggy drives.