Question

What is the inverse function of f(x) = x/x-2

Answer 1

Answer:

The answer is:

y =  x/x  −2

Answer 2

Answer:$f^{1}=\frac{2x}{x-1}$

Step-by-step explanation:

Write f(x) =x/x-2 as an equation

$f(x)=\frac{x}{x-2}$

Interchange the variables

$x=\frac{y}{y-2}$

solve for y, multiply equation by y-2.

$y=\frac{2x}{x-1}$

replace y with $f^{1}$(x)

you get the above answer.