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Inverse Functions

Inverse Functions (Question)

For each of the function below, obtain its inverse function.

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

Guide:

  • Function f is said to be the inverse of function g if the inverse of function f is equal to function g and vice versa.
  • 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.
  • For verification purpose, one can check if ff-1(x) or f-1f(x) will return to x.

Inverse Functions (Answer)

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

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