additive function

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A function for which f(x+y)=f(x)+f(y). For example, f(x)=3x is an additive function since f(x+y)=3(x+y)=f(x)+f(y) but g(x)=√x is not additive since √x+y is not in general equal to √x+√y.

Subjects: Mathematics.

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