Order Notation. Consider each pair of functions below. Give a formal proof using a direct proof technique, that f(n) ∈ O(g(n)). Recall that f(n) ∈ O(g(n)) if and only if ∃c ∈ R+, ∃n0 ∈ N, ∀n ∈ N, n ≥ n0 → f(n) ≤ c · g(n)   1. f(n) = 7n^2 log6 n + 12n + 7 and g(n) = 3n^3 − 4n^2+ 12.   2. f(n) = (2n^2−n+6)/(n-15) and g(n) = n^2 − 16

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