4. For each of the following functions, give the least integer n such f(x) is 0(X"). a) x) = 4x + x log x e) Ax) = (2x + x + 1)/(x + 1) b) f(x) = 2x* + xlog x + 3 c) Ax) = 4x + (log x)* + x f) fx) = (x + 3x + 1)/(x + 1) 8) Rx) = (3x* + xlog x)/(x* + 1) h) Ax) = (2x + xlog x)/(x + 1) d) Ax) = 3x + (log x) 5. Determine the best big-o classification for each of the following functions. a) An) = 4n? +97n log: n + 1000 d) An) = 3n (logan + 5n) b) An) = 171 +43n logan + logan e) An) = (3n+2)(n-1) c) Ain) = 6n + 100000 f) Ain) = (4n - 1)(log, n + 1)