MathDB
Hard Functional Equation

Source: Turkey TST 2014 Day 1 Problem 2

March 12, 2014
functionsymmetryalgebra proposedalgebrafunctional equation

Problem Statement

Find all ff functions from real numbers to itself such that for all real numbers x,yx,y the equation f(f(y)+x2+1)+2x=y+(f(x+1))2f(f(y)+x^2+1)+2x=y+(f(x+1))^2 holds.
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