Functions: CAIE IGCSE Maths questions
Every CAIE IGCSE Maths exam question on 2.13 Functions, June 2024 and the specimen papers, with its mark scheme and examiner’s report.
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All 4 questions on Functions, as a list
- June 2024, Paper 4, Q9 (12 marks): f ( )x 4 x + 1 g ( )x 6 2 x h ( )x 3 x - 2 = = - = (a) Find (i) f ( ) 3 [1] (ii) gf ( ) 3 . [1] (b) Find g 1 - ( )x . g 1 - ( )x [2] = (c) Find x when ( ) f x g
- June 2024 (0980), Paper 4, Q7 (11 marks): (a) Solve x 3 8 6 4 x . - = - x = [2] 2 + (b) Factorise fully 10 a 5 a . [2] (c) Factorise fully ( 2 x 3 ) 2 - . 9 - [2] 1 1 (d) f ( )x - , x g ( )x 3 x = ! = 4
- Specimen, Paper 2, Q18 (9 marks): f(x) = 3 – 2x g(x) = 2x + 3 h(x) = 2x (a) (i) Find f(–3). [1] (ii) Find gf(–3). [1] (b) Find f –1(x). f –1(x) = [2] (c) Find x when gg(x) = 7 . x = [3] (d) Find
- Specimen, Paper 4, Q4 (2 marks): f(x) = 3x – 5 The domain of f(x) is {–3, 0, 2}. Find the range of f(x). { } [2]
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![June 2024 Paper 4, question 9: f ( )x 4 x + 1 g ( )x 6 2 x h ( )x 3 x - 2 = = - = (a) Find (i) f ( ) 3 [1] (ii) gf ( ) 3 . [1] (b) Find g 1 - ( )x . g 1 - ( )x [2] = (c) Find x when ( ) f x g](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/058041-jun24-09-qp.webp)
![June 2024 (0980) Paper 4, question 7: (a) Solve x 3 8 6 4 x . - = - x = [2] 2 + (b) Factorise fully 10 a 5 a . [2] (c) Factorise fully ( 2 x 3 ) 2 - . 9 - [2] 1 1 (d) f ( )x - , x g ( )x 3 x = ! = 4](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/098042-jun24v2-07-qp.webp)
![Specimen Paper 2, question 18: f(x) = 3 – 2x g(x) = 2x + 3 h(x) = 2x (a) (i) Find f(–3). [1] (ii) Find gf(–3). [1] (b) Find f –1(x). f –1(x) = [2] (c) Find x when gg(x) = 7 . x = [3] (d) Find](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/058002-spec-18-qp.webp)
![Specimen Paper 4, question 4: f(x) = 3x – 5 The domain of f(x) is {–3, 0, 2}. Find the range of f(x). { } [2]](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/058004-spec-04-qp.webp)