Find all functions defined on the set of positive real numbers and having real values, that for any real there is satisfied the following equasion:
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It is quite interesting question, isn't it? Did someone find the answer?
Can't manage to solve this interesting problem either.. Any ideas?
May be this helps
Last edited by zzzoak; December 8th 2010 at 12:06 PM.
Hmm.. That's the full solution?
We get a system
which has a solution
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