Inverse Function Examples
Here are some algebraic examples of inverse functions. For each pair, each function is the inverse of the other. Compose them to verify for yourself that f(g(x)) = x and g(f(x))=x.
| Original Function f(x) |
Inverse Function g(x) |
|---|---|
| f(x) = 2x | g(x) = x/2 |
| f(x) = x - 5 | g(x) = x + 5 |
| f(x) = 3x - 1 | g(x) = (x+1)/3 |
Examples of how Inverse Functions Look
The next two pages show graphical examples of inverse function behavior.