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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.

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

 

Answer

  1. g-1(x) = 2/x
  2. g-1(x) = x-1
  3. 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-1f(x) will return to x.

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