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For complex numbers z, let

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

f(z) = z + 2 if z is not real

 

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

 Jun 18, 2021
 #1
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Because i is not real, -1 is real, 1 is real, and -i is not real, we have 

 

 f(i) + f(1) + f(-1) + f(-i)

 

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

 

= 2+1+1+2

 

=6

 Jun 18, 2021

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