Determine which relationship is correct for each pair of functions, either f$($n$)$ is O$($g$($n$)),$ f$($n$)$ is $\backslash$Omega $($g$($n$))$ or f$($n$)$ is $\backslash$theta $($g$($n$)).$ f$($n$)$

$=2$n$*$lg$($n$+2)^(2)+($n$+2)^(2)*$lg$($n$/2)$