Inverse of a function

[YehiaMedhat]

Given that f(x)= x-2 /x+2

 

[Steven G]

Is \(\displaystyle f(x) = x-\dfrac{2}{x} + 2\) as you wrote, or is \(\displaystyle f(x)= \dfrac{x-2}{x+2}?\)

Interchange x and y(also called f(x))
Then solve for y.
Then simply replace y with y^-1or f^-1(x)

Try this and post back

 

[YehiaMedhat]

Thanks, sir