# Math Help - a little homework help

1. ## a little homework help

what is the f ^-1 inverse of f (x) = x+1/x-1
How would I work this problem? Thank you !

2. So to find the inverse, switch the x's and y's.

$x=\frac{y+1}{y-1}$

$xy-x=y+1$

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

$f^{-1}(x)=\frac{x+1}{x-1}$