$5.$ Select all of the true statements from the following,

$[$ f$($x$)$ in O$($g$($x$))$ g$($x$)$ in $\backslash$Omega $($f$($x$))$; f$($x$)$ in o$($g$($x$))$ f$($x$)$ in O$($g$($x$))$; f$($x$)$ in O$($g$($x$))$ f$($x$)$ in $\backslash$Theta $($g$($x$))$; f$($x$)$ in o$($g$($x$))$ f$($x$)$ in O$($g$($x$))$; f$($x$)$ in $\backslash$Theta $($g$($x$))$ f$($x$)$ in O$($g$($x$))]$