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Define the following functions on the integers by a(i) = k +1, b(i) = 2i, and...

Define the following functions on the integers by a(i) = k +1, b(i) = 2i, and c(i) = ⌈i/2⌉
a. Which of these functions are one-to-one?
b. Which of these functions are onto?
c. Express in simplest terms the compositions a ◦ b, b ◦ a, b ◦ c ◦ b

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