plumiComposite functions: AQA Level 2 Further Maths questions
Every AQA Level 2 Further Maths exam question on 2.4 Composite functions, 2021–2025, with its mark scheme and examiner’s report.
Paper
All papers
Exam
All years
Calculator
All 5 questions on Composite functions, as a list
- June 2025, Paper 2, Q19 (4 marks): f(x) = 4x3 – 7 g(x) = 6x + 8 Work out the value of x for which f(2x) = gf(x) x =
- June 2024, Paper 2, Q21 (6 marks): f(x) = – x 2 3 g(x) = 18x2 + 15x f –1(x) + gf(x) simplifies to ax2 + bx + c Work out the values of a, b and c. a = b = c =
- June 2023, Paper 1, Q1 (4 marks): The function f is given by f(x) = 2x + 1 1 (a) Work out x when f(x) = –5 x = 1 (b) The function g is given by g(x) = x2 Work out fg Answer
- November 2021, Paper 2, Q19 (3 marks): (a) f(x) = (x + 2)3 g is a function such that gf(x) = (x + 2)12 Work out an expression for g(x) Answer 19 (b) h(x) = x2 + 5 k is a function such that hk(x) = 4x
- Specimen, Paper 2, Q13 (4 marks): f(x) = 3x2 + 6 for all x g(x) = 5 x − x ⩾ 5 13 (a) Work out the value of gf Answer 13 (b) Show that fg(x) can be written in the form a(x – a) where a is an inte
Questions, mark schemes and examiner’s reports are © AQA, from their published past papers. Plumi isn’t affiliated with any exam board. Want whole papers? Every AQA Level 2 Further Maths paper.
Rather write your answers by hand on iPad? Plumi marks them against the same mark schemes.