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

Answer:

$g^{-1}(x)=\frac{1}{2}x-2$

Step-by-step 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

$y=\frac{1}{2}x-2$

Putting it back into function notation:

$g^{-1}(x)=\frac{1}{2}x-2$