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pow:problem4f24
Problem 4 (due on Monday, October 21).
Find all continuous functions f:R⟶R such that for any real numbers x,y either f(x+f(y))=f(x)+y or f(f(x)+y)=x+f(y).
The problem was solved by Levi Axelrod and Dr. Mathew Wolak. The only functions which satisfy the conditions of the problem are f(x)=x and f(x)=−x. Both submitted solution as well as our in-house solution follow the same idea. For details see the following link Solution.
pow/problem4f24.txt · Last modified: 2024/10/31 23:56 by mazur