Question

What is the inverse of the function f(x) = one-quarterx – 12?

Answer 1

Answer:

$f^{-1}$ (x) = 4x + 48

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = $\frac{1}{4}$ x - 12 ( multiply through bt 4 to clear the fraction )

4y = x - 48 ( add 48 to both sides )

4y + 48 = x

Change t back into terms of x with x = $f^{-1}$ (x)

$f^{-1}$ (x) = 4x + 48

Answer 2

Answer:

y = 4x - 48

Step-by-step explanation:

y = 1/4 x - 12

x = 1/4 y - 12

4x = y - 48

y = 4x - 48