0580/22 Feb/Mar 2023, Question 25: Inverse Functions
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 2 marks
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The question, in short
Given f(x) = x³ + 1, find the inverse function f⁻¹(x).
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Solution · 2 marks
- 1y = x³ + 1; swap: x = y³ + 1
- 2y³ = x − 1
- 3f⁻¹(x) = ∛(x − 1)
Answer∛(x − 1) or (x − 1)^(1/3)
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