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