### Home > INT2 > Chapter 9 > Lesson 9.4.1 > Problem9-139

9-139.

Determine the inverse functions below.

1. If $f(x) = 2x - 3$, then what does $f^{ -1}(x)$ equal?

$f(x) + 3 = 2x$

$x=\frac{f(x)+3}{2}$

$f^{-1}(x)=\frac{x+3}{2}$

1. If $h(x) = (x - 3)^2 + 2$, then what does $h^{-1}(x)$ equal?

Follow the same steps as in part (a).

$h^{-1}(x)=\sqrt{x-2}+3$

2. What is the domain of $h(x)$ from part (b) if both $h(x)$ and $h^{-1}(x)$ are functions?

$x ≥ 3$