Question

If f(x) = 4x – 6, then f-1(x) =

Answer 1

(x+6)/4

Explanation:

We are given the following function:

f(x) = 4x-6

It can also be written as:

y = 4x - 6

Finding the inverse:

We have to exchange y with x, and then isolate y. It becomes:

`x=4y-6`

Isolating y:

`4y=x+6`
`y=(x+6)/(4)`

The inverse function is:

`f^(-1)(x)=(x+6)/(4)`