1.

If f(x) and g(x) are functions such that f(x + y) = f(x).g(y) + g(x).f(y), then ∣∣∣∣∣f(α)g(α)f(α+θ)f(β)g(β)f(β+θ)f(γ)g(γ)f(γ+θ)∣∣∣∣∣ is independent of

Answer» If f(x) and g(x) are functions such that f(x + y) = f(x).g(y) + g(x).f(y), then

f(α)g(α)f(α+θ)f(β)g(β)f(β+θ)f(γ)g(γ)f(γ+θ)

is independent of


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