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

No Rating

Comments: ( You must be logged in to post comments.)

Subject

Author

Date

There are no comments yet.

Please log in:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (10)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info