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For all complex numbers z, let f(z)={z2 if z is not real,z2 if z is real.  Find f(f(f(f(1+i)))).

 Aug 9, 2024
 #1
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Here is how can we compute the answer:

 

f(f(f(f(1+i) = f(f(f((1+i)^2) = f(f(f(0) = f(f(0) = f(0) = 0

 

Therefore, the answer is 0.

 Aug 9, 2024

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