Chapter 4 - Exponential and Logarithmic Functions - Section 4.2 One-to-One Functions; Inverse Functions - 4.2 Assess Your Understanding - Page 293: 86

$\text{Quadrant }IV$

Since the graph of $f^{-1}(x)$ is the reflection of the graph of $f(x)$ about the line $y=x$, then the graph of the inverse of the given function will remain in Quadrant $IV$. This is because when we reflect the graph of $f(x)$ about the line $y=x$, the inverse will remain in Quadrant $IV$.