perplexus.info :: Just Math : Looking for functions II

Looking for functions II (Posted on 2006-10-23)

Determine all real-valued functions f, defined for all x except 0 and 1, such that the following functional equation holds:

f(x)+f(1-1/x)=1+x

See The Solution Submitted by JLo

Rating: 4.0000 (1 votes)

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

Answer (only)

| Comment 1 of 4

2f(x)=x+1/[x(1-x)] so that f(2)=3/4, f(-1)=-3/4, f(1/2)=9/4.

Posted by Richard on 2006-10-23 14:26:34

Please log in:

Forums (1)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (6)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info