+0  
 
0
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avatar+85 

For all complex numbers z, let \( f(z) = \left\{ \begin{array}{cl} z^{2}&\text{ if }z\text{ is not real}, \\ -z^2 &\text{ if }z\text{ is real}. \end{array} \right.\)  Find f(f(f(f(1+i)))).

 Aug 9, 2024
 #1
avatar+534 
0

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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