+1094 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!
