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Nice problem

Source: Netherlands Team Selection Test 2016 Day 1-Problem 4

September 22, 2016

algebrafunctional equationAZE BMO TST

Problem Statement

Find all funtions

f:\mathbb R\to\mathbb R

such that:

f(xy-1)+f(x)f(y)=2xy-1

for all

x,y\in \mathbb{R}