Let f: R → R be defined by f(x) = (3 − x³)^(1/3). Then f(f(x)) is equal to: A. x^(1/3) B. x³ C. x D. 3 − x³ Answer: C) x Explanation: f(f(x)) = (3 − (f(x))³)^(1/3) = (3 − ((3 − x³)^(1/3))³)^(1/3) = (3 − (3 − x³))^(1/3) = (x³)^(1/3) = x.

imo class 12 relations and functions

Let f: R → R be defined by f(x) = (3 − x³)^(1/3). Then f(f(x)) is equal to:

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Let f: R → R be defined by f(x) = (3 − x³)^(1/3). Then f(f(x)) is equal to:

Answer: C) x

Explanation: f(f(x)) = (3 − (f(x))³)^(1/3) = (3 − ((3 − x³)^(1/3))³)^(1/3) = (3 − (3 − x³))^(1/3) = (x³)^(1/3) = x.