# Answered Essay: Fill in the blanks with one of the five symbols (O, Ohm, Theta, o, or omega) to indicate the relationship between the fu

Fill in the blanks with one of the five symbols (O, Ohm, Theta, o, or omega) to indicate the relationship between the functions If f(n) = O(g(n)), then g(n) = _____ (f(n)) If f(n) = o(g(n)), then g(n) = _____ (f(n)) Since f(n) = Theta(f(n)), it is also true that f(n) = _____ (f(n)) and f(n) = _____ (f(n)) For these next two problems, fill in the first blank with the ratio of these two functions. Next determine what that implies about bounding and fill in the other blank(s) with one of the five symbols listed above. If f(n) = nlog_2n and g(n) = n, then f(n)/g(n) = _____ which means that f(n) = _____ (g(n)) and f(n) = _____ (g(n)) If f(n) = n^1/2 and g(n) = 75 squareroot n, then f(n)/g(n) = _____. This ratio means that f(n) = _____ (g(n))

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