Question

Inverse of g(x)=2x -8​

Answer 1

y = 1/2x + 4

Explanation:

The first equation is y = 2x - 8

switch out y for x

x = 2y - 8

add 8 to both sides

2y = x + 8

divide by 2 on each side

y = 1/2x + 4

Answer 2

The inverse is 1/2x +4

Explanation:

g(x)=2x -8​

y = 2x-8

Exchange x and y

x = 2y-8

Solve for y

x+8 = 2y-8+8

x+8 = 2y

Divide by 2

1/2 x + 8/2 = 2y/2

1/2x +4 = y

The inverse is 1/2x +4