EST. 2024 · LONDON·MMXXVI SPECIFICATION
AQA·Edexcel·OCR|Foundation + Higher
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Algebra

Function

A rule that takes an input x and produces a single output f(x).

Definition

Function notation f(x) replaces y. f(2) means substitute 2 for x. Composite functions like fg(x) mean apply g first, then f to the result. Inverse functions f⁻¹(x) reverse f.

Example

If f(x) = 3x + 1 then f(2) = 7. Inverse: f⁻¹(x) = (x − 1)/3.

Used in these topics

Functions and function notationInverse and composite functions

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