In this video I show you the graphical relationship that exists between y = f(x) and its inverse function y = f – 1(x).

Inverse functions - Graphical relationship : ExamSolutions - youtube Video

Example (1)

Example in the video

If f(x) = x2 – 1, x ε ℝ, x ≥ 0 :

  1. Find the range of f(x).
  2. Find f – 1(x) and state the domain
Functions : Example 1 : ExamSolutions - youtube Video

Example (2)

Example in the video

If f(x) = (x+1)2, x ε ℝ, x ‎≤ -2:

  1. Find the range
  2. Find f – 1(x) and state the domain
Functions : Example 2 : ExamSolutions - youtube Video