For each of the following functions, indicate the class (g(n)) the function belongs to. (Use the simplest possible in your answers.) Prove your assertions.

a. (n2 + 1)10

b. (10n2 + 7n + 3)

c. 2n lg (n+2)2 + (n+2)2 lg n/2

d. 2n+1+3n-1

e. log2 n