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Composition of Functions · CSEC Mathematics

18 past-paper questions on Composition of Functions, part of RELATIONS, FUNCTIONS AND GRAPHS, from every CSEC Mathematics paper on Quelpr.

Practise Composition of Functions
  1. 4(b)(ii)2 marks· CSEC Mathematics · 2021 · Paper 2Calculate the value of fg(-3).
  2. 4(a)(ii)2 marks· Mathematics Q4 4(a)(ii)Determine the values of: fg(5)
  3. 5(a)(i)b)2 marks· Mathematics Q5 5(a)(i)b)Calculate the value of gf(4).
  4. 5(a)(ii)3 marks· Mathematics Q5 5(a)(ii)Calculate gf(15).
  5. 5(a)(ii)2 marks· Mathematics Q5 5(a)(ii)Calculate the value of gf(1).
  6. 5(b)(i)3 marks· Mathematics Q5 5(b)(i)Determine the value of fg(2).
  7. 6(a)(ii)2 marks· Mathematics Q6 6(a)(ii)Write an expression for gf(x) in its simplest form.
  8. 6(b)(iii)1 mark· Mathematics Q6 6(b)(iii)Evaluate fg(2)
  9. 7(b)(iv)3 marks· Mathematics Q7 7(b)(iv)Calculate the value of x if fg(x) = 1.
  10. 8(a)(ii)a)2 marks· Mathematics Q8 8(a)(ii)a)Find, in its simplest form, expressions for fg(x).
  11. 9(a)(i)b)2 marks· Mathematics Q9 9(a)(i)b)Evaluate hg(4).
  12. 9(a)(ii)3 marks· Mathematics Q9 9(a)(ii)Calculate the value of gf(5).
  13. 9(a)(ii)1 mark· Mathematics Q9 9(a)(ii)Write an expression for gf(x) in its simplest form.
  14. 9(a)(ii)b)1 mark· Mathematics Q9 9(a)(ii)b)Write an expression in x for gf(x).
  15. 9(a)(ii)b)4 marks· Mathematics Q9 9(a)(ii)b)Write an expression in x for gg(x).
  16. 9(a)(iii)2 marks· Mathematics Q9 9(a)(iii)Write an expression, in terms of x, for fg(x).
  17. 9(b)(iii)4 marks· Mathematics Q9 9(b)(iii)Write an expression for gf(x), in the form (x + a) (x + b), where a and b ∈ R.
  18. 10(a)(iii)3 marks· Mathematics Q10 10(a)(iii)Show that fg(2) = fg(-2) = 0.

Related topics in RELATIONS, FUNCTIONS AND GRAPHS