Functions as inputs and outputs

An expression as a machine turning inputs into outputs, run both ways.

Function notation

Reading f(x) as the output at x, and evaluating f(3) and 2f(1).

Higher

Inverse functions

Finding f⁻¹(x) by rearranging y = f(x), and how the inverse undoes it.

Higher

Composite functions

Applying one function to the output of another, and why fg(x) applies g first.

Higher

Practice

Function notation

Reading f(x) as the output at x, and evaluating f(3) and 2f(1).

Practice

Inverse functions

Finding f⁻¹(x) by rearranging y = f(x), and how the inverse undoes it.

Practice

Functions review

Evaluating functions, inverses and composites from formal notation.

Mixed review