Determine whether each of these proposed definitions is a valid recursive definition of a function f from the set of nonnegative integers to the set of integers. If f is well defined, find a formula for f(n) when n is a nonnegative integer and prove that your formula is valid.
f(0) = 1, f(n) = f(n – 1) – 1 for n ≥ 1
Choose the correct statement.
(You must provide an answer before moving to the next part.)