+0  
 
0
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Let

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

f(z) = z if z is real

 

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

 May 3, 2022
 #1
avatar+326 
+1

Let

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

f(z) = z if z is real

 

so, 2z + z + z + 2z.

 

This equals 6z

 

-Vinculum

 May 3, 2022
 #2
avatar+9310 
+1

Use the definition directly.

 

f(i) + f(1) + f(-1) + f(-i)

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

= 0

 May 3, 2022

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