Question

Help with inverses

Answer 1

So I am stumped on this one problem. \[f(x)=\frac{ 2x }{ x-1 } x \neq1\]

Answer 2

So we are dealing with restricted domain. I am having issues trying to get the inverse I get to \[x=\frac{ 2y }{ y-1 }\]

Answer 3

we could multiply out y-1 and get \[x(y-1)=2y\]

Answer 4

http://www.wolframalpha.com/input/?i=inverse+of+%282x%29%2F%28x-1%29

Answer 5

here: i found one with the steps. https://www.symbolab.com/solver/function-inverse-calculator/inverse%20f%5Cleft(x%5Cright)%3D%5Cfrac%7B2x%7D%7Bx-1%7D/?origin=enterkey