+0  
 
0
40
1
avatar

For complex numbers z, let

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

f(z) = iz if z is real

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

 Aug 5, 2021
 #1
avatar+2204 
0

f(i) = 2i (since i is not real)

f(1) = 1i (since 1 is real)

 

Solve the other 2 values and add them up. 

 

*You could also solve this problem by noticing that for every f(x) term, there's also a f(-x). 

 

=^._.^= 

 Aug 6, 2021

17 Online Users

avatar