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Looking for functions (Posted on 2006-10-18) Difficulty: 3 of 5
Define all functions that are defined in the set of real numbers excluding zero and satisfy the following:

f(x)+8f(1/x)-63x=0 , x≠0

No Solution Yet Submitted by atheron    
Rating: 3.2000 (5 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: The only solution | Comment 4 of 6 |
(In reply to The only solution by Steve Herman)

Nice one, Steve. In my earlier post I missed that my "defining equation" must hold on both sides of x=1, so there is indeed one solution only.
  Posted by JLo on 2006-10-19 04:38:58

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