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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.)
Solution The nice solution | Comment 2 of 8 |
When a holomorphic function on all complex numbers except 0 is required, the solution is unique:

f(x)=8/x-x

  Posted by JLo on 2006-10-18 14:30:15
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