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Suppose f and g are non-constant, differ...

Suppose f and g are non-constant, differentiable, real-valued functions defined on `(-oo,oo).` Furthermore,suppose that for each pair of real numbers x and y, `f(x+y)=f(x)f(y)-g(x)g(y) and g(x+y)=f(x)g(y)+g(x)f(y).`

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