Inverse function of $f(x) = \frac{x+5}{x-2}$ Find the inverse of the function
$f(x) = \frac{x+5}{x-2}$
Here's what I have so far:
$y = \frac{x+5}{x-2}$
$x = \frac{y+5}{y-2}$
$(x)(y-2) = (y+5)$
but this seems to be a dead end.
How should I approach this?
Thank you!

I'm just continuing from where you stopped
$(x)(y-2) = (y+5)$
$xy-2x = y+5$
$xy-y=2x+5$
$y(x-1)=2x+5$
$y=\frac{2x+5}{x-1}$
