jmc

Question

For integers n, let f(n) = arraycl n^2 + 1 & if n is odd, n^2 - 3n + 1 & if n is even. array .Find f(f(f(f(f(f(2)))))).

Accepted Answer

Working from the inside out, we first compute

f (2) = 2^{2} - 3 (2) + 1 = - 1

. Next we find

f (- 1) = (- 1)^{2} + 1 = 2

. Putting these together, we have:

f (f (f (f (f (f (2)))))) = f (f (f (f (f (- 1))))) = f (f (f (f (2)))) = f (f (f (- 1))) = f (f (2)) = f (- 1) = 2 .