Question

What is the inverse of the function f(x)=1/4x-12

Answer 1

To find the inverse fountion interchange the veribles and solve for y.

Answer 2

`f^(-1)(x)=4x+48`.

Explanation:

We have been given a function
`f(x)=(1)/(4)x-12`. We are asked to find the inverse for our given function.

First of all, we will replace
`f(x)` by y as:

`y=(1)/(4)x-12`

Now, we will interchange x and y values as:

`x=(1)/(4)y-12`

Let us solve for y.

`x+12=(1)/(4)y-12+12`

`x+12=(1)/(4)y`

Switch sides:

`(1)/(4)y=x+12`

Multiply both sides by 4:

`4*(1)/(4)y=4(x+12)`

`y=4x+48`

Therefore, the required inverse function would be
`f^(-1)(x)=4x+48`.