what is the f ^-1 inverse of f (x) = x+1/x-1

How would I work this problem? Thank you !

Printable View

- Jun 25th 2006, 10:45 AMstarbritea little homework help
what is the f ^-1 inverse of f (x) = x+1/x-1

How would I work this problem? Thank you ! - Jun 25th 2006, 01:07 PMJameson
So to find the inverse, switch the x's and y's.

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

$\displaystyle xy-x=y+1$

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

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