Given the following functions:

f$($n$)=3$nlog$2$n$+3$n$21$

g$($n$)=2$n$2+$log$2($n$2)$

Indicate which of the following statements are true $($select ALL that apply$).$ An incorrect response will deduct partial credit.

f$($n$)$ is O$($g$($n$))$

g$($n$)$ is O$($f$($n$))$

f$($n$)$ is $\backslash$Omega $($g$($n$))$

g$($n$)$ is $\backslash$Omega $($f$($n$))$

f$($n$)$ is $\backslash$Theta $($g$($n$))$

g$($n$)$ is $\backslash$Theta $($f$($n$))$

none of these statements are true