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!

Almost there:
$$x = \frac{y+5}{y-2}$$
$$x(y-2) = y+5$$
$$xy - 2x = y+5$$
$$xy - y = 5 + 2x$$
$$y(x-1) = 5+2x$$
I'll let you finish.
