# Inverse Function Calculator

The calculator will find the inverse of the given function, with steps shown. If the function is one-to-one, there will be a unique inverse.

**Your input: find the inverse of the function $$$y=\frac{x + 7}{3 x + 5}$$$**

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

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

So, swap the variables: $$$y=\frac{x + 7}{3 x + 5}$$$ becomes $$$x=\frac{y + 7}{3 y + 5}$$$.

Now, solve the equation $$$x=\frac{y + 7}{3 y + 5}$$$ for $$$y$$$.

$$$y=\frac{7 - 5 x}{3 x - 1}$$$

## Answer

$$$y=\frac{7 - 5 x}{3 x - 1}$$$