Question

What is the inverse of x/(x-1)

Answer 1

`y= (x)/(x-1) \\ \\ y(x-1)=x \\ xy-y=x \\ xy-x=y \\ x(y-1)=y \\ \\ x= (y)/(y-1) \;\;\;\Rightarrow f^(-1)(x)= (x)/(x-1)`