# Inverse Function

This topic is introduced when a student is learning about a function. They will learn what is the definition of the function. In addition to that, there are certain conditions which a function has its inverse. This will be covered in JC H2 Mathematics class.

**Question**

For each of the functions, obtain its inverse function.

- g(x) = 2/x
- g(x) = x + 1
- g(x) = 3/(x-1)

**Answer**

- g
^{-1}(x) = 2/x - g
^{-1}(x) = x-1 - g
^{-1}(x) = (3/x) + 1

*Useful Notes:*

*In order to obtain the inverse function, first one need to set the function x as y then make y become the subject of the formula.**Function f is said to be the inverse of function g if the inverse of function f is also equal to function g and vice versa.**For verification purpose, one can check if ff*^{-1}(x) or f^{-1}f(x) will return to x.

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