Question

If f(x) = 4x - 3, what is f(x)^-1?

Answer 1

`f^(-1)(x)=(x+3)/(4)`

Explanation:

Given:
`f(x)=4x-3`

We need to find the inverse.

Step 1: Set f(x)=y

`y=4x-3`

Step 2: Switch x and y

`x=4y-3`

Step 3: Solve for y

`x+3=4y`

`y=(x+3)/(4)`

Hence, The inverse of given function is
`y=(x+3)/(4)`