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Let

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

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

 

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

 
 Jun 23, 2022
 #1
avatar+123309 
+1

f(i) =  i^2 =  -1

f(-i)  = (-i)^2 =  (-1^2) * i^2  = 1 * -1 =  -1

f(1)  =  - (-1 )^2 = -1 (1) = -1 

f(1) =  - (1^2)  =  -1 (1) = -1

 

Add them up  =    -4

 

cool cool cool

 
 Jun 23, 2022

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