Question

Given f(x)= 2x-2/4 solve for f^-1(3)

Answer 1

f(x)=y=(2x-2)/4
f^-1(x)=x=(2y-2)/4
4x=2y-2
4x+2=2y
f^-1(x)=y=2x+1
f^-1(3)=2(3)+1
=6+1
=7

Answer 2

`f^(-1)(3)=7`

Explanation:

Given :
`f(x)=(2x-2)/(4)`

To Find:
`f^(-1)(3)`

Solution:

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

Replace x with y and y with x

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

Now find the value of y

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

`2x+1=y`

Thus
`f^(-1)(x)=2x+1`

Now,
`f^(-1)(3)=2(3)+1=6+1=7`

Hence
`f^(-1)(3)=7`