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Domain, range and composite functions past paper questions

Mathematics 9709 · Functions. Range of a function; forming fg(x); when a composite exists

In Cambridge A Level Mathematics 9709, Domain, range and composite functions came up in 60 of the 69 papers on Paperstreak, for about 4 marks a paper when it does. It last came up in October/November 2025.

Often set with Inverse functions, Completing the square, Transformations of graphs, Trig equations.

64 questions, newest first

1. 9709/11/O/N/25 Question 6 parts (a) (c) · 5 marks
2. 9709/12/O/N/25 Question 9 parts (c) (d) · 3 marks
3. 9709/13/O/N/25 Question 10 part (a(ii)) · 1 mark
4. 9709/11/M/J/25 Question 10 parts (e) (f) · 2 marks
5. 9709/13/M/J/25 Question 11 · 10 marks
6. 9709/12/F/M/25 Question 11 parts (a) (c) · 7 marks
7. 9709/12/O/N/24 Question 5 parts (a(i)) (b) · 4 marks
8. 9709/13/O/N/24 Question 8 part (d) · 3 marks
9. 9709/12/M/J/24 Question 4 part (c) · 4 marks
10. 9709/13/M/J/24 Question 11 · 9 marks
11. 9709/12/F/M/24 Question 9 parts (a) (b) · 6 marks
12. 9709/11/O/N/23 Question 9 parts (b) (c) · 4 marks
13. 9709/12/O/N/23 Question 8 part (c) · 3 marks
14. 9709/13/O/N/23 Question 7 parts (a) (c) · 3 marks
15. 9709/11/M/J/23 Question 8 part (a) · 4 marks
16. 9709/13/M/J/23 Question 7 parts (a) (c) · 4 marks
17. 9709/12/F/M/23 Question 9 parts (a) (c) · 6 marks
18. 9709/12/O/N/22 Question 9 parts (a) (b) (e) · 4 marks
19. 9709/13/O/N/22 Question 2 part (b) · 1 mark
20. 9709/11/M/J/22 Question 6 parts (b) (c) · 5 marks
21. 9709/12/M/J/22 Question 10 part (c) · 2 marks
22. 9709/13/M/J/22 Question 6 parts (b) (d) · 3 marks
23. 9709/12/F/M/22 Question 9 part (b) · 4 marks
24. 9709/11/O/N/21 Question 8 part (c) · 1 mark
25. 9709/12/O/N/21 Question 3 part (a) · 2 marks
26. 9709/12/O/N/21 Question 10 part (c) · 2 marks
27. 9709/13/O/N/21 Question 6 parts (c) (d) · 3 marks
28. 9709/11/M/J/21 Question 9 parts (a) (d) · 6 marks
29. 9709/12/M/J/21 Question 5 part (a) · 2 marks
30. 9709/13/M/J/21 Question 8 part (a) · 4 marks
31. 9709/12/F/M/21 Question 7 part (c) · 3 marks
32. 9709/11/O/N/20 Question 11 parts (a) (c) · 5 marks
33. 9709/12/O/N/20 Question 5 part (a) · 1 mark
34. 9709/13/O/N/20 Question 6 parts (b) (c) · 3 marks
35. 9709/11/M/J/20 Question 4 part (a) · 2 marks
36. 9709/11/M/J/20 Question 6 part (b) · 2 marks
37. 9709/12/M/J/20 Question 9 part (a) · 3 marks
38. 9709/13/M/J/20 Question 9 part (d) · 3 marks
39. 9709/12/F/M/20 Question 9 parts (c) (d) · 3 marks
40. 9709/11/O/N/19 Question 7 parts (i) (ii) · 5 marks
41. 9709/12/O/N/19 Question 6 part (b(ii)) · 2 marks
42. 9709/11/M/J/19 Question 5 part (iii) · 3 marks
43. 9709/11/M/J/19 Question 9 part (i) · 2 marks
44. 9709/12/M/J/19 Question 7 part (ii) · 3 marks
45. 9709/13/M/J/19 Question 4 parts (i) (ii) · 3 marks
46. 9709/13/M/J/19 Question 9 part (i) · 2 marks
47. 9709/12/F/M/19 Question 8 part (iv) · 4 marks
48. 9709/11/O/N/18 Question 11 part (b(i)) · 2 marks
49. 9709/12/O/N/18 Question 9 part (ii) · 1 mark
50. 9709/13/O/N/18 Question 11 part (iv) · 3 marks
51. 9709/11/M/J/18 Question 9 part (iii) · 4 marks
52. 9709/12/M/J/18 Question 4 part (ii) · 3 marks
53. 9709/13/M/J/18 Question 10 parts (i) (iii) · 6 marks
54. 9709/11/O/N/17 Question 9 parts (i) (iii) · 6 marks
55. 9709/13/O/N/17 Question 6 part (ii) · 4 marks
56. 9709/11/M/J/17 Question 9 part (ii) · 3 marks
57. 9709/13/M/J/17 Question 9 part (iv) · 1 mark
58. 9709/12/F/M/17 Question 8 parts (i) (iii) · 5 marks
59. 9709/11/O/N/16 Question 8 part (i) · 3 marks
60. 9709/12/O/N/16 Question 10 part (i) · 2 marks
61. 9709/13/O/N/16 Question 8 part (ii) · 1 mark
62. 9709/11/M/J/16 Question 11 part (i) · 2 marks
63. 9709/12/M/J/16 Question 1 · 3 marks
64. 9709/13/M/J/16 Question 10 parts (i) (ii) (iii) · 6 marks

More in Functions: Inverse functions, Graphs of a function and its inverse, Transformations of graphs.

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