Give an example of two positive monotonic functions, f(n) and g(n), such that f(n) > g(n) for every n > 0 and f(n) = O(n). Prove from the definition of big-O (i.e., by specifying the constants c and n, from the big-O definition) that your functions satisfy the above condition. 3 pts (2 pts example + 1 pt proof)