olymmath

BALTIC-WAY 1996 Problem 13

    Consider the functions ff defined on the set of integers such that

    f(x)=f(x2+x+1),f(x)=f\left(x^{2}+x+1\right),

    for all integers xx. Find

    (a) all even functions,

    (b) all odd functions of this kind.

    Dataset text NuminaMath olympiads. Quoted with source.

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