4. For each of the following functions, give the least integer n such f(x) is O(xm). a) f(x) = 4x + xlog x b) f(x) = 2x2 + xlog x + 3 c) f(x) = 4x + (log x)+ + x e) Rx) = (2x* + x + 1)/(x + 1) f) Ax) = (x* + 3x + 1)/(x + 1) g) flx) = (3x* + x log x)/(x* + 1) d) f(x) = 3x + (log x)3 h) Ax) = (2x + x?log x)/(x + 1) 5. Determine the best big-o classification for each of the following functions. a) f(n) = 4n? +97n log2 n + 1000 b) f(n) = 17n + 43n log2 n + logan d) An) = 3n (log2 n + 5n) e) Ain) = (3n + 2)(n-1) f) An) = (41 1) (log2 n +1) c) fin) = 6n + 100000