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For all complex numbers z, let

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

f(z) = z^3 if z is real

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

 
 Jan 10, 2021
 #1
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f(f(f(f(1+i))))

f(i+1) = (i+1)2 = 2i

f(f(i+1)) = f(2i) = -4

f(f(f(i+1))) = f(-4) = -64

f(f(f(f(i+1)))) = f(-64) = -262144

 

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 Jan 10, 2021

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