# 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.

Enter a function: $$y=f(x)=$$$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 $$y=\frac{x + 7}{3 x + 5}$$$

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

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