help

hi guest!

 $f(x)=\frac{x+2}{x-2}$

To find the inverse, you can first replace f(x) for y. $y=\frac{x+2}{x-2}$

1. we replace the x with y.  $x=\frac{y+2}{y-2}$

2. cross multiply:

 $x(y-2)=y+2$

$xy-2x=y+2$

$xy-y=2x+2$

$y(x-1)=2x+2$

3. divide both sides by x-1: $y=\frac{2x+2}{x-1}$

And that's the answer! $\boxed{y=\frac{2x+2}{x-1}}$

i hope this helped you!

:)

PS. here's a good youtube video about finding inverses! https://youtu.be/2zeYEx4eTdc?t=505