Difference between revisions of "2017 IMO Problems/Problem 2"

Revision as of 01:40, 19 November 2023

Let $\mathbb{R}$ be the set of real numbers , determine all functions $f:\mathbb{R}\rightarrow\mathbb{R}$ such that for any real numbers $x$ and $y$

$f(f(x)f(y)) + f(x+y)=f(xy)$

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@@ Line 4: / Line 4: @@
 <math>f:\mathbb{R}\rightarrow\mathbb{R}</math> such that for any real numbers <math>x</math> and <math>y</math>
-<math></math>{f(f(x)f(y)) + f(x+y)}<math> =</math>f(xy)<math></math>
+<cmath>f(f(x)f(y)) + f(x+y)=f(xy)</cmath>
 ==Solution==

2017 IMO (Problems) • Resources
Preceded by Problem 1	1 • 2 • 3 • 4 • 5 • 6	Followed by Problem 3
All IMO Problems and Solutions