Let f, g, h, k: NN where f(n) = 3n, g(n) = [n/3], h(n) = [(n +

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Let f, g, h, k: N→N where f(n) = 3n, g(n) = [n/3], h(n) = [(n + 1)/3], and k(n) = (n + 2)/3], for each n ∈ N. (a) For each n ∈ N what are (g o f)(h o f) and {k o f){n?)l (b) Do the results in part (a) contradict Theorem 5.7?
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