Suppose $f$:$BC$ and $g$:$AB$ are functions. Check all the statements that are true:

A$.$ If $f$@$g$ is onto, then so is $f.$

B$.$ If $f$@$g$ is onto, then so is $g.$

C$.$ If $f$@$g$ is onto and $f$ is not, then $g$ cannot be $1-1.$

D$.$ If f and g are both onto, then so is $f$@$g.$

E$.$ If $f$@$g$ is onto and $g$ is not, then $f$ cannot be $1-1.$

F$.$ None of the aboe