Write true or false to each of the following statements.

I. If f(n) O(n) and g(n) (n), then f(n) + g(n) (n). TRUE

J. If f(n) O(n), then n² f(n) O(n³). TRUE

K. If f(n) O(n) and g(n) O(n²), then f(n) g(n) O(n³). TRUE

L. If f(n) (nlogn), then f(n) n O(n² logn). TRUE