is the statement below correct? True or False justify your answer by using the definition of asymptotic notations with example:

If f$1($n$)=$ ohm$($g$1($n$))$ and f$2($n$)=$ohm$($g$2($n$))$ then f$1($n$)*$f$2($n$)=$ ohm $($g$1($n$)*$g$2($n$))$