Difference between revisions of "2017 IMO Problems/Problem 2"
(Undo incomplete solution (only accounts for integers)) (Tag: Undo) |
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Let <math>\mathbb{R}</math> be the set of real numbers , determine all functions | Let <math>\mathbb{R}</math> be the set of real numbers , determine all functions | ||
<math>f:\mathbb{R}\rightarrow\mathbb{R}</math> such that for any real numbers <math>x</math> and <math>y</math> <math>{f(f(x)f(y)) + f(x+y)}</math> =<math>f(xy)</math> | <math>f:\mathbb{R}\rightarrow\mathbb{R}</math> such that for any real numbers <math>x</math> and <math>y</math> <math>{f(f(x)f(y)) + f(x+y)}</math> =<math>f(xy)</math> | ||
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Revision as of 18:13, 10 December 2020
Let be the set of real numbers , determine all functions
such that for any real numbers
and
=