Inverse of $$$y = x - 12$$$

The calculator will try to find the inverse of the function $$$y = x - 12$$$, with steps shown.

If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please write it in the comments below.

Your Input

Find the inverse of the function $$$y = x - 12$$$.

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: $$$y = x - 12$$$ becomes $$$x = y - 12$$$.

Now, solve the equation $$$x = y - 12$$$ for $$$y$$$.

$$$y = x + 12$$$

Answer

$$$y = x + 12$$$A

Graph: see the graphing calculator.