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)))).
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.