For this problem, suggest the following two functions. Let M be the function which gives a person's month of birth (e.g., M(Grossman) = April). Let L be the function whose domain is set of months, and whose rule is L(x) = the number of days in x in a non-leap year (e.g., L(October) = 31).
(a) What is the domain of M?
(b) What is the range of L?
(c) One of M(L(you)) and L(M(you)) makes sense, and one does not. Compute the one that makes sense, and explain why the other one is impossible.