MathDB
f (x + y) = (f (x))^{ 2013} + f (y)

Source: OLCOMA Costa Rica National Olympiad, Final Round, 2013 Shortlist F1 day1 (F = Functions)

September 26, 2021
algebrafunctional equationfunctional

Problem Statement

Find all functions f:Rā†’Rf: R\to R such that for all real numbers x,yx, y is satisfied that f(x+y)=(f(x))2013+f(y).f (x + y) = (f (x))^{ 2013} + f (y).
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