Question: Define linear transformations S: Pn Pn and T: Pn Pn by S(p (x)) = p (x + 1) and T(p(x)) = xp'(x) Find

Define linear transformations S: Pn → Pn and
T: Pn → Pn by
S(p (x)) = p (x + 1) and T(p(x)) = xp'(x)
Find (S ͦ T) (p (x)) and (T ͦ S) (p (x)).

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