perplexus.info :: Just Math : Function Challenge

Function Challenge (Posted on 2007-01-27)

Let F(x) be a polynomial with real coefficients. Find all functions F(x) satisfying:

F(x)*F(2x^2-1) = F(x^2)*F(2x-1)

See The Solution Submitted by atheron

Rating: 3.5000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

Puzzle Thoughts

Comment 3 of 3 |

F(x)=c*(x-1)^k (c is a real number and k is a positive integer)

Posted by K Sengupta on 2023-07-15 23:26:20

Please log in:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (5)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info