Answer:[tex]f^{1}=\frac{2x}{x-1}[/tex]
Step-by-step explanation:
Write f(x) =x/x-2 as an equation
[tex]f(x)=\frac{x}{x-2}[/tex]
Interchange the variables
[tex]x=\frac{y}{y-2}[/tex]
solve for y, multiply equation by y-2.
[tex]y=\frac{2x}{x-1}\\[/tex]
replace y with [tex]f^{1}[/tex](x)
you get the above answer.
