Question

Find the inverse function of g(x) = 2x + 4.

g -1(x) = 4x + 2
g -1(x) = 2x + 1/2
g -1(x) = 1/2 x - 2
g -1(x) = 2x - 4

Answer 1

`g^(-1)(x)=(1)/(2)x-2`

Explanation:

First, let's rename this as y = 2x + 4.

In order to find the inverse, switch the x and the y, then solve for the new y.

x = 2y + 4 so

2y = x - 4 and

`y=(1)/(2)x-2`

Putting it back into function notation:

`g^(-1)(x)=(1)/(2)x-2`