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

The inverse of the function f(x)= x/x-2 is; f-¹(x) = 2x/(x-1)

Since the function can be rewritten as;

By making x the subject of the function;

By swapping x and y; we then have;

The inverse function is therefore; f-¹(x) = 2x/(x-1)

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Step-by-step explanation:

Start by replacing f(x) by the variable "y" and solving for x in the equation:

Now do the final replacement using the inverse function notation, and replacing "y" with "x":

step-by-step explanation: