1999 IMO Problems/Problem 6: Difference between revisions
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==Problem== | ==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== | ==Solution== | ||
Revision as of 23:02, 18 November 2023
Problem
Determine all functions 
such that
![\[f(x-f(y))-f(f(y))+xf(y)+f(x)-1\]](http://latex.artofproblemsolving.com/7/e/1/7e1ddb9eff9c4522d8507d9cbbac1033fb8fdbab.png)
for all real numbers 
.
Solution
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See Also
| 1999 IMO (Problems) • Resources | ||
| Preceded by Problem 5 |
1 • 2 • 3 • 4 • 5 • 6 | Followed by Last Question |
| All IMO Problems and Solutions | ||
