How do you find the inverse of $f(x)= x/(x-9)$ ?

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Answer 1 · 2015-12-14T14:16:49

$f^-1(x) = (9x)/(x - 1)$

Exchange x and y. Solve for y.

$x = y/(y-9)$

$xy - 9x = y$

$xy - y = 9x$

$y(x - 1) = 9x$

How do you find the inverse of f(x)= x/(x-9)f(x)= x/(x-9)?