4024/11 May/Jun 2022, Question 20: Inverse Functions
Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 4 marks
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The question, in short
For f(x) = (6x + 2)/5, evaluate the function at x = 3 and determine the inverse function f⁻¹(x).
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Part (a) · 1 mark
Substitute x = 3 into (6x + 2)/5 and calculate the value of f(3).
- 1f(3) = (6 × 3 + 2)/5 = 20/5 = 4
Answer4
Part (b) · 3 marks
Find the inverse function f⁻¹(x) of (6x + 2)/5.
- 1y = (6x + 2)/5 → 5y = 6x + 2
- 26x = 5y − 2 → x = (5y − 2)/6
- 3f⁻¹(x) = (5x − 2)/6
Answer(5x − 2)/6
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Also searched as: 4024/11/M/J/22 · 4024_s22_qp_11 · 4024 s22 11 · question 20.
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