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Let

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

f(z) = -2z if z is real

 

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

 Aug 13, 2021
 #1
avatar+37162 
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Multiplying by a constant will not conver the imaginary number to a real number so

f(1+i) =    2 + 2i

f(2+ 2i) =   4 + 4i

f(4+4i) =   8 + 8i

f(8+8i)  = 16 + 16i

 Aug 13, 2021

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