Let f: R --> R and let T: P2 --> F, and T(p) = p(f). Prove that T is a linear transformation.(adsbygoogle = window.adsbygoogle || []).push({});

P2 is the set of polynomials of degree 2 or less, and F is the set of all functions.

It seems to me that I can treat f as really just a real number, in which case it's no different from proving T(p) = p(x) for all x in R. Is it this simple?

Thanks

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# Homework Help: Linear transformation proof

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