Let ø : R → S be a ring homomorphism, and define ø* : R[x] → S[r] as follows. For f(r) = ana" + ...+ a1x + ao € R[r], let O(F(x)) = ¢(an)r" + ...+ ¢(a1)x + ¢(ao) € S[r] %3D Show that o* is a ring homomorphism. It is called the homomorphism induced by ø.

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