Consider the function:

f$($n$)=12$nlog$($n$)+42$log$($n$)+19$n $+67$

Which of the following statements are true? $($check all that apply$)$

Group of answer choices

f$($n$)$ is O$($n$^2)$

f$($n$)$ is O$($n$^4)$

f$($n$)$ is O$(2^$n$)$

f$($n$)$ is O$($log$($n$))$

f$($n$)$ is O$($nlog$($n$))$

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