Question

What is the inverse of the function f(x) = 4x + 8? h(x) = x – 2 h(x) = x + 2 h(x) = x – 2 h(x) = x + 2

Answer 1

`y =(1)/(4)x - 2`

Explanation:

f(x) = 4x + 8

To find inverse function , we replace f(x) by y

y = 4x+8

Now replace x with y and y with x

x = 4y + 8

Now solve for y

Subtract 8 on both sides

x - 8 = 4y

Divide by 4 on both sides

`(x)/(4) - (8)/(4) =y`

`y =(1)/(4)x - 2`