Q 10. - Precalculus Enhanced with Graphing Utilities

Question

True or False If $f$ and $g$ are inverse functions, the domain of $f$ is the same as the range of $g$. 

Step-by-Step Solution

Answer

Its true, If $f$ and $g$ are inverse functions, the domain of $f$ is the same as the range of $g$.

Step 1. Given

Given that $f$ and $g$ are inverse function.

Step 2. Explanation

If $f\left(x\right)$ and $f^{-1}\left(x\right)$ are inverse functions, then domain of $f\left(x\right)$ is same as the range of $f^{-1}\left(x\right)$.