Question

What is the first step in finding the inverse of a function?

a. solve for x
b. exchange x for y
c. identify the domain
d. identify the range

Answer 1

The first thing you would do is switch the x and y (B).

For example, to find the inverse of y = 2x + 8:

1. Swap x and y
x = 2y + 8

2. Solve for y (set the equation equal to it):
x - 8 = 2y
y = (x - 8) ÷ 2

`f^(-1)(x)` = 1/2x - 4