Deriving Inverse Functions · CSEC Mathematics

22 past-paper questions on Deriving Inverse Functions, part of RELATIONS, FUNCTIONS AND GRAPHS, from every CSEC Mathematics paper on Quelpr.

1. 4(a)(ii)3 marks· Mathematics Q4 4(a)(ii)Determine an expression for h⁻¹(x).
2. 4(a)(ii)b)1 mark· Mathematics Q4 4(a)(ii)b)Hence or otherwise, determine the value of f^-1(9).
3. 4(a)(iii)2 marks· Mathematics Q4 4(a)(iii)Determine the values of: f⁻¹(1)
4. 4(a)(iii)2 marks· Mathematics Q4 4(a)(iii)Determine the inverse function f⁻¹(x).
5. 5(a)(ii)2 marks· Mathematics Q5 5(a)(ii)Find f^-1(x).
6. 5(a)(iii)2 marks· Mathematics Q5 5(a)(iii)Calculate the value of f⁻¹(3).
7. 5(a)(iii)2 marks· Mathematics Q5 5(a)(iii)Calculate f⁻¹(11).
8. 5(b)(ii)3 marks· Mathematics Q5 5(b)(ii)Determine the value of f⁻¹(3).
9. 6(a)(iii)2 marks· Mathematics Q6 6(a)(iii)Find the inverse function f⁻¹(x).
10. 6(b)(ii)1 mark· Mathematics Q6 6(b)(ii)Evaluate f⁻¹(6)
11. 7(b)(ii)3 marks· Mathematics Q7 7(b)(ii)Obtain an expression for g^{-1}(x).
12. 7(b)(iii)2 marks· Mathematics Q7 7(b)(iii)Calculate f^(-1)(x).
13. 8(a)(ii)b)2 marks· Mathematics Q8 8(a)(ii)b)Find, in its simplest form, expressions for f⁻¹(x).
14. 9(a)(ii)2 marks· Mathematics Q9 9(a)(ii)Hence, determine the inverse of f(x) = (2x+3)/(x-4), where x ≠ 4.
15. 9(a)(ii)2 marks· Mathematics Q9 9(a)(ii)Write an expression, in terms of x, for f⁻¹(x).
16. 9(a)(ii)a)6 marks· Mathematics Q9 9(a)(ii)a)Write an expression in x for f⁻¹(x).
17. 9(a)(ii)a)4 marks· Mathematics Q9 9(a)(ii)a)Write an expression in x for h⁻¹(x).
18. 9(a)(iii)1 mark· Mathematics Q9 9(a)(iii)Find the inverse function g⁻¹(x).
19. 9(a)(iii)3 marks· Mathematics Q9 9(a)(iii)Find f⁻¹(x).
20. 9(b)(ii)4 marks· Mathematics Q9 9(b)(ii)Write an expression in x for f⁻¹(x).
21. 9(b)(ii)2 marks· Mathematics Q9 9(b)(ii)Write an expression in terms of x for f⁻¹(x).
22. 10(a)(ii)1 mark· Mathematics Q10 10(a)(ii)Find f⁻¹(x).