Consider this pair of functions:

f$($n$)=3$n$^2+$nlogn

g$($n$)=5$nlog$2$ n$/$ log logn $+$ n$^2.$

Answer the following questions, and provide a justification for your answer in each case.

$($a$)(2$ marks$)$ Is f$=\backslash$Omega $($g$)?$