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

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