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) = x^{2} – 1, x ε ℝ, x ≥ 0 :

- Find the range of f(x).
- 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:

- Find the range
- Find f
^{– 1}(x) and state the domain