Let X = {n EN:0 n 999} be the set of all numbers with three...

Transcribed Image Text:

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 0'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 E X: 305 ≤ x ≤ 322}. Find f(A). b. Find f-¹({1,3}) c. Find f-¹(2). d. Find f-¹(101). 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 0'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 E X: 305 ≤ x ≤ 322}. Find f(A). b. Find f-¹({1,3}) c. Find f-¹(2). d. Find f-¹(101).

Answer rating: 100% (QA)

Sol... View the full answer