If f(x) and g(x) are functions such that...

If `f(x) and g(x)` are functions such that `f(x + y) = f(x) g(y) + g(x) f(y),` then in `|(f(alpha),g(alpha),f(alpha+theta)),(f(beta),g(beta),f(beta+theta)), (f(lambda),g(lambda),f(lambda+theta))|` is independent of

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