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Let

f(z) = z^2 if z is real

f(z) = z + 1 if z is not real

Find f(i)+f(1)+f(-1)+f(-i).

 Jun 14, 2022
 #1
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f(z) = z^2 if z is real

f(z) = z + 1 if z is not real

 

f(i): i+1

f(1): 1^2 = 1

f(-1): -1^2 = -1

f(-i): -i+1

 

So we got...

 

(i+1)+1+(-1)+(-i+1) = 2

 

-Vinculum

smiley

 Jun 14, 2022

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