Difference between revisions of "2022 USAMO Problems/Problem 3"
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Latest revision as of 21:43, 2 May 2022
Problem
Let 
be the set of all positive real numbers. Find all functions 
such that for all 
we have![\[f(x) = f(f(f(x)) + y) + f(xf(y)) f(x+y).\]](http://latex.artofproblemsolving.com/7/9/e/79e9b17e39cd2c0466afbdc665b6d09a07d9a50e.png)
Solution
[WIP]
See also
| 2022 USAMO (Problems • Resources) | ||
| Preceded by Problem 2 |
Followed by Problem 4 | |
| 1 • 2 • 3 • 4 • 5 • 6 | ||
| All USAMO Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
