How do you find the inverse of $f(x) = (2x)/(x-1)$ ?

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Answer 1 · 2015-11-23T23:46:35

We have that

$y=(2x)/(x-1)=>y*(x-1)=2x=>yx-y=2x=>(y-2)*x=y=>x=y/(y-2)$

hence the inverse is

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

How do you find the inverse of f(x) = (2x)/(x-1)f(x) = (2x)/(x-1)?