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Prove that {f(x) ∈ F(R, R) : f(0) = 0} is a subspace of F(R,...

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Advance Math

Prove that {f(x) ∈ F(R, R) : f(0) = 0} is a subspace of F(R, R).Explain why {f(x) : f(0) = 1} is not.

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