Inverse Functions
Inverse Functions (Question)
For each of the function below, obtain its inverse function.
- f(x) = x + 1
- f(x) = 2/x
- 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)
- f-1(x) = x-1
- f-1(x) = 2/x
- f-1(x) = (3/x) + 1
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