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

Answer:

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

Step-by-step explanation:

We have been given a function $f(x)=\frac{1}{4}x-12$. We are asked to find the inverse for our given function.

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

$y=\frac{1}{4}x-12$

Now, we will interchange x and y values as:

$x=\frac{1}{4}y-12$

Let us solve for y.

$x+12=\frac{1}{4}y-12+12$

$x+12=\frac{1}{4}y$

Switch sides:

$\frac{1}{4}y=x+12$

Multiply both sides by 4:

$4*\frac{1}{4}y=4(x+12)$

$y=4x+48$

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