Find the inverse function of f f(x) = (x-2)/(x+2)?

1 Answer
Jan 29, 2018

f^-1(x)=-(2x+2)/(x-1)

Explanation:

Let y-=f(x)=(x-2)/(x+2)

Then y(x+2)=x-2rArr xy+2y=x-2 rArr xy-x=-(2y+2)rArr x(y-1)=-(2y+2) rArrx=-(2y+2)/(y-1)

So f^-1(x)=-(2x+2)/(x-1)