Difference between revisions of "2017 IMO Problems/Problem 2"
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<math>f:\mathbb{R}\rightarrow\mathbb{R}</math> such that for any real numbers <math>x</math> and <math>y</math> | <math>f:\mathbb{R}\rightarrow\mathbb{R}</math> such that for any real numbers <math>x</math> and <math>y</math> | ||
− | < | + | <cmath>f(f(x)f(y)) + f(x+y)=f(xy)</cmath> |
==Solution== | ==Solution== |
Revision as of 01:40, 19 November 2023
Problem
Let be the set of real numbers , determine all functions
such that for any real numbers
and
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
See Also
2017 IMO (Problems) • Resources | ||
Preceded by Problem 1 |
1 • 2 • 3 • 4 • 5 • 6 | Followed by Problem 3 |
All IMO Problems and Solutions |