Functions: Domain, Range, Composite & Inverse | OCR A-Level Maths | 40 Worked Examples (H240)

A complete set of 40 fully worked examples on Functions for OCR A A-Level Mathematics (H240, spec 1.02u-v), covering domain and range, one-one versus many-one mappings, composite functions gf(x) and f squared, and inverse functions found both algebraically and by reflection in y = x. Questions are graded Easy, Standard and Challenging so students build from evaluating and inverting linear functions up to self-inverse rational functions, range of a composite, existence conditions for an inverse, domain restriction of a quadratic, and a one-one proof. Every solution is broken down one step at a time, with a green heading and a plain-English reason for each step, a margin note on every working line, and OCR-style M/A/B mark annotations placed on the real mark-scheme lines. Written to match OCR’s own notation, command words (State, Find, Show, Explain why) and answer-format conventions. Ideal for revision, homework, cover lessons and exam preparation. Answers included.