perplexus.info :: Just Math : Inverting odd powers

Inverting odd powers (Posted on 2024-04-29)

Let f:R->R be an increasing function such that f(f(x))=x²ⁿ⁺¹ for all x∈R when n∈N. Prove that f is invertible, and compute f(-1)+f(0)+f(1).

No Solution Yet Submitted by Danish Ahmed Khan

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