Examples, with detailed solutions, on how to find the inverse of quadratic functions with restricted domain are presented.
Example 1: Find the inverse of the quadratic function in vertex form given by
Solution to example 1:
Example 2: Find the inverse of the quadratic function given by
Solution to example 2:
Exercises: Find the inverse of the quadratic functions given below
1. f(x) = (x - 3) 2 + 3 , if x >= 3
2. g(x) = -x 2 + 4 x - 4 , if x <= 2
Answers to above exercises:
1. f -1(x) = 3 + sqrt[ (x - 3) ]
2. g -1(x) = 2 - sqrt[ (-x) ]
More links and references related to the inverse functions.