# Chapter 5 - Exponential and Logarithmic Functions - 5.2 One-to-One Functions; Inverse Functions - 5.2 Assess Your Understanding - Page 267: 81

domain: $[0,\infty)$ range: $(-\infty,0]$

#### Work Step by Step

The domain of $g$ is the range of $g^{-1}$ and the range of $g$ is the domain of $g^{-1}$. Hence, the inverse function $g^{-1}$ has: domain: $[0,\infty)$ range: $(-\infty,0]$

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