MathDB
Singapore Senior 2008

Source: Functional Equation

July 1, 2008
functionalgebra unsolvedalgebra

Problem Statement

Let there's a function f:R→R f: \mathbb{R}\rightarrow\mathbb{R} Find all functions f f that satisfies: a) f(2u)\equal{}f(u\plus{}v)f(v\minus{}u)\plus{}f(u\minus{}v)f(\minus{}u\minus{}v) b) f(u)≥0 f(u)\geq0
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