Which of the following seven statements correctly describes the relationship between the functions

f and g defined in A$)-$C$)$ below? Note that more than one of the seven statements may be correct

for each part. You do NOT need to justify your choices.

f in $\backslash$Omega $($g$)$ g in $\backslash$Omega $($f $)$ f in o$($g$)$ g in o$($f$)$ f in O$($g$)$ g in O$($f$)$ f in $\backslash$theta $($g$)$

A$)$f$($n$)=$ n$!$ g$($n$)=$n$^$n