MathDB

Functional equation

Source: IMO Shortlist 2005 problem A4

March 12, 2006

algebrafunctional equationIMO Shortlist

Problem Statement

Find all functions

f: \mathbb{R}\to\mathbb{R}

such that

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

for all real numbers

x

and

y

.
Proposed by B.J. Venkatachala, India

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