Question

Inverse the function f(x) = 2x/x-1

I have so far:
y = 2x/x-1
y(x-1) = 2x

But I'm stuck here, I know I need to solve for x, but I don't see what I can do to achieve it.

Answer 1

ok i wanna try to solve it

Answer 2

\[y=\frac{ 2x }{ x-1 }\]

Answer 3

\[or, y(x-1)=2x\]

Answer 4

\[or, xy-y=2x\]

Answer 5

r u following me

Answer 6

\[or, xy-2x=y\]

Answer 7

\[x(y-2)=y\]

Answer 8

\[or, x=\frac{ y }{ y-2 }\]

Answer 9

is it ok

Answer 10

plz tell me somethig

Answer 11

f inverse y=x=y/(y-2)

Answer 12

Yeah, that works.
I completely blanked on adding/subtracting from the equation