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

 

Example (1)

Example in the video

\text{If}\hphantom{aa}f(x) = {x^2} - 1,\hphantom{aa} x\in \mathbb{R},\hphantom{aa}x \ge 0:

  1. Find the range of f(x).
  2. \text{Find}\hphantom{a} f^{ - 1}(x)\hphantom{a}\text{and state the domain}

Example (2)

Example in the video

\text{If}\hphantom{aa}f(x) = {(x+1)^2},\hphantom{aa} x\in \mathbb{R},\hphantom{aa}x \le -2:

  1. \text{Find the range}
  2. \text{Find}\hphantom{a} f^{ - 1}(x)\hphantom{a}\text{and state the domain}