Let X = {n EN: 0≤ n ≤ 999} be the set of all numbers with three or fewer digits. Define the function f : X→ N by f(abc) = a +b+c, where a, b, and c are the digits of the number in X (write numbers less than 100 with leading O's to make them three digits). In other words, f returns the sum of the digits of its input. For example, f(253) = 2+5+ 3 = 10. a. Let A = {n € X: 308 ≤ x ≤ 325}. Find f(A). b. Find f-¹({1,3}) c. Find f-¹(2).

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