Difference between revisions of "1999 IMO Problems/Problem 6"

Revision as of 23:02, 18 November 2023

Determine all functions $f:\Bbb{R}\to \Bbb{R}$ such that

$f(x-f(y))-f(f(y))+xf(y)+f(x)-1$

for all real numbers $x,y$ .

This problem needs a solution. If you have a solution for it, please help us out by adding it.

@@ Line 1: / Line 1: @@
 ==Problem==
-Determine all functions <math>f:\Bbb{R}\to \Bbb{R}</math>
+Determine all functions <math>f:\Bbb{R}\to \Bbb{R}</math> such that
+<cmath>f(x-f(y))-f(f(y))+xf(y)+f(x)-1</cmath>
+for all real numbers <math>x,y</math>.
 ==Solution==

1999 IMO (Problems) • Resources
Preceded by Problem 5	1 • 2 • 3 • 4 • 5 • 6	Followed by Last Question
All IMO Problems and Solutions