#1**+6 **

To find the inverse of a function, you first need ot swap in "y" for the "f(x)"

Then, we need to switch the x for the y and vice versa.

Then, solve for the y.

(you can read more about it on https://www.coolmath.com/algebra/16-inverse-functions/05-how-to-find-the-inverse-of-a-function-01.)

Okay, lets try it with your values:

First, we need to swap in the y for the f(x). So:

\(y=\frac{x}{2x-3}\)

Swap the x for the y, and we get:

\(x = \frac{y}{2y-3}\)

Now, let's test your algebra. Can you solve for y?

Once you have done that, the inverse is in your equation!

ilorty Jul 29, 2020