Inverse Function Calculator

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 $y$.

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: $y = \frac{x + 7}{3 x + 5}$ becomes $x = \frac{y + 7}{3 y + 5}$.

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

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

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

Graph: see the graphing calculator.