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For complex numbers z, let [tex] \[f(z) = \left\{
\begin{array}{cl}
z^{2}&\text{ if }z\text{ is not real}, \\
z+2 &\text{ if }z\text{ is real}.
\end{array}
\right.\] [/tex]

Find [tex] f(i)+f(1)+f(-1)+f(-i) [/tex].

Respuesta :

konrad509

[tex] f(i)+f(1)+f(-1)+f(-i)=i^2+1+2+(-1)+2+(-i)^2=-1+3-1+2-1=2 [/tex]

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