If f(x) = x³ + 3x² + 3x + 1, then f⁻¹(x) equals:
If f(x) = x³ + 3x² + 3x + 1, then f⁻¹(x) equals:
- A. ∛x − 1
- B. ∛x + 1
- C. ∛(x − 1)
- D. ∛(x + 1) − 1
Answer: A) ∛x − 1
Explanation: f(x) = (x+1)³. Put y = (x+1)³, so x+1 = ∛y and x = ∛y − 1. Hence f⁻¹(x) = ∛x − 1.
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