For each of the following pairs of functions, either f(n) is in O(g(n)). f(n) is in (g(n)), or f(n) = (g(n (i.e., f(n) is in both O(g(n)) and (g(n))). Determine which relationship is correct, no explanation required. a. f(n) = log₂ (2n); g(n) = log₂ (n) +2 b. f(n) = n²+3n +4, g(n) = 6n +7 c. f(n) log 100; g(n) = 5 d. f(n) = log n+n; g(n) = n logn e. f(n) = 2; g(n) = n²