Consider two functions f$($n$)=$ n$^2$ and g$($n$)=2$n$^3.$ State whether each of the following statements is True or False and explain your answer:

f$($n$)$ is O$($g$($n$))$

g$($n$)$ is O$($f$($n$))$

f$($n$)$ is $\backslash$Omega $($g$($n$))$

g$($n$)$ is $\backslash$Omega $($f$($n$))$