Word Count : 95

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Define a map (\phi:\mathbb{R}[x]\to\mathbb{C}) by (\phi(f(x))=f(i)), where (i^2=-1). For any (f(x),g(x)\in\mathbb{R}[x]), [ \phi(f+g)=(f+g)(i)=f(i)+g(i)=\phi(f)+\phi(g), ] and _____ _____ ___ _______ _______ __________ ________ _______ __________ _____.
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