Question

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

Answer 1

`y = (2x)/(x - 1)`

Explanation:

find the inverse of the function

To find the inverse function, swap x and y, and solve the resulting equation for x.

If the initial function is not one-to-one, then there will be more than one inverse.

So, swap the variables

`y = (x)/(x - 2)`

becomes

`x = (y)/(y - 2)`

Now, solve the equation

`x = (y)/(y - 2)`

for y.

`y = (2x)/(x - 1)`