4024/22 May/Jun 2026, Question 13: Composite functions
Cambridge O Level Mathematics 4024 · Paper 22 (Calculator) · Calculator · 3 marks
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The question, in short
Given f(x) = 2x + 3 and g(x) = 1/(x − 2), evaluate f and the composite gf.
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Part (a) · 1 mark
Find f(−4).
- 1f(−4) = 2(−4) + 3
- 2= −5
Answer−5
Part (b) · 2 marks
Find gf(1).
- 1f(1) = 2(1) + 3 = 5
- 2gf(1) = g(5) = 1/(5 − 2)
- 3= 1/3
Answer1/3
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