f(z) = {[z^2, z siulernerneqarput; -z^2, z nalunngorneqarput].
f(f(f(f(1+i)))) aqagu 
1+i siulernerneqarput, f(1+i) = (1+i)^2 = 2i
f(2i) = (2i)^2 = -4
-4 nalunngorneqarput, f(-4) = -(-4)^2 = -16
f(-16) = -(-16)^2 = -256
Takorfimmax takuneqartut peqatiginniffik: 

f(1 + i) = (1 + i)^2 = 1 + 2i - 1 = 2i
Taqilluni f(f(f(f(1 + i)))) = f(f(f(2i)))

Imaluunniit:

f(2i) = (2i)^2 = -4
Taqilluni f(f(-4)) = f(-16)

Imaluunniit:

f(-4) = -(-4)^2 = -16
Taqilluni f(-16) = (-16)^2 = 256

Taqilluni f(f(f(f(1 + i)))) = f(f(f(2i))) = f(f(-4)) = f(-16) = 256