Question

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

Answer 1

To get the inverse of a function, first write the function as a function of y in terms of x... so y = 1/4x - 12.. Now switch the variables as such:

x =
`(1)/(4) y - 12` we now need to solve this equation for "y"
x - 12 =
`(1)/(4) y`
4(x -12) = y
8x - 48 = y

So y = 8x - 48 is the inverse of your function: Can also be written as:

`f^(-1)(x) = 8x -48`

Answer 2

f^-1(x)= 4x+48 That is my answer