### Home > CCA2 > Chapter 8 > Lesson 8.2.1 > Problem8-77

8-77.

Find the inverse functions below.

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

Rewrite the equation as $y = 2x - 3$. Then switch $x$ and $y$ and solve for $y$.

$x = 2y - 3$

Solve for $y$.

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

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

See part (a).

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