MathDB
KMO second round #1

Source:

May 6, 2005
functionalgebra unsolvedalgebra

Problem Statement

For arbitrary real number xx, the function f:R→Rf : \mathbb R \to \mathbb R satisfies f(f(x))−x2+x+3=0f(f(x))-x^2+x+3=0. Show that the function ff does not exist.
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