Graphical relationship between f(x) and its inverse

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

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

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

New · Axi

Stuck on this topic?

Axi, our AI tutor, answers questions on Graphical relationship between f(x) and its inverse – no copying, no pasting, no sign-up.