Question

What is the inverse function of the function f(x)=4x+8

Answer 1

f^-1= (x-8)/4
hope this helps!

Answer 2

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

Explanation:

the inverse function of the function f(x)=4x+8

To find inverse function do the following steps

step 1: Replace f(x) with y

y = 4x+8

step 2: Replace x with y and y with x

x= 4y +8

step 3: solve for y

x = 4y +8

Subtract 8 from both sides

x-8 = 4y

divide by 4 on both sides

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

Divide each term by 4

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

Step 4 : Replace y with f^-1(x)

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