plumiInverse functions: AQA Level 2 Further Maths questions
Every AQA Level 2 Further Maths exam question on 2.5 Inverse functions, 2021–2025, with its mark scheme and examiner’s report.
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All 4 questions on Inverse functions, as a list
- June 2025, Paper 1, Q1 (5 marks): (a) The function f is given by f(x) = 5x + 3 The range is f(x) < 23 Work out the domain of the function, giving your answer as an inequality. Answer 1 (b) The f
- 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 2022, Paper 1, Q3 (6 marks): (a) f(x) = 4 – x 0 ⩽ x < 1 = 4x – x 2 1 ⩽ x < 4 = 2x – 8 4 ⩽ x ⩽ 6 On the grid, draw the graph of y = f(x) 3 (b) g(x) = 6 – 3x Work out g–1(x). Answer
- November 2021, Paper 1, Q4 (5 marks): (a) The function f is given by f(x) = 3x – 5 The range is 13 < f(x) < 19 Work out the domain of the function. Answer 4 (b) The function g is given by g(x) = x2
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