I just need to give the BIG O please show STEPS because I need to know how to approach these problems when given functions!

1. (8) What is the Big Oh function for each of the following functions of n. It should be as tight and as simple as possible. For example, if t(n) = 3.5nlog3 n5 + loglogn + 100n, the answer should be nlog3 n. All log functions are base 2. And if you use log functions in your answers, they should be base 2 as well.

a. t(n) = (n/2)log(n/2) + f(n), where f(n) = o(nlog⁹ n)

b. t(n) = n + (n + 1) ++ (n + n)

c. t(n) = log⁵ nlog(n¹⁰)

d. t(n) = 16^log₂n

PLEASE SHOW WORK HOW U LANDED ON THE FINAL BIG O AND TIPS TO FIND BIG O OF A FUNCTION