### Home > INT3 > Chapter 8 > Lesson 8.1.1 > Problem8-16

8-16.

What is the inverse of each function given below?

1. $f\left(x\right) = 2x - 3$

This function multiplies by $2$ and then subtracts $3$. How can those operations be undone?

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

1. $h\left(x\right) = \left(x - 3\right)^{2} + 2$ for $x ≥ 3$

List out the operations (in order) of the original function. Then "undo" them.

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