# Inverse of $$$y = \frac{x}{4} - 12$$$

### Your Input

**Find the inverse of the function $$$y = \frac{x}{4} - 12$$$.**

### Solution

To find the inverse function, swap $$$x$$$ and $$$y$$$., and solve the resulting equation for $$$y$$$.

This means that the inverse is the reflection of the function over the line $$$y = x$$$.

If the initial function is not one-to-one, then there will be more than one inverse.

So, swap the variables: $$$y = \frac{x}{4} - 12$$$ becomes $$$x = \frac{y}{4} - 12$$$.

Now, solve the equation $$$x = \frac{y}{4} - 12$$$ for $$$y$$$.

$$$y = 4 x + 48$$$