For an integer n, let
f(n) = n/2 + 1 if n is even
f(n) = 3n - 1 if n is odd
Find f(f(f(f(12)))).
f(12) = 12/2 + 1 = 7
f(f(12)) = f(7) = 3(7) -1 = 20
f(f(f(12))) = f(20) = 20/2 + 1 = 11
f(f(f(f(12)))) = f (11) = 3(11) - 1 = 32