KS4 / GCSE · Mathematics — Higher

Functions

What Is It

Higher tier functions cover evaluating, composing (combining two functions) and finding the inverse of functions, using formal notation like f(x), fg(x), and f⁻¹(x).

Why It Matters

Function notation at GCSE is direct preparation for A-Level, where composite and inverse functions appear constantly — students who master the notation here find A-Level functions dramatically less daunting.

Exam Tip

For composite functions like fg(x), always apply the function closest to x first (g, then f) — applying them in the wrong order is the single most common composite function mistake.

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