4024/11 Oct/Nov 2025, Question 19: Composite functions
Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 3 marks
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The question, in short
Given g(x) = x/2 + 4 and h(x) = 3x − 1, solve hg(x) = 5.
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Solution · 3 marks
- 1hg(x) = 3(x/2 + 4) − 1 = 3x/2 + 11
- 23x/2 + 11 = 5, so 3x/2 = −6
- 3x = −4
Answer−4
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