1. If $g\left( x \right) =2f\left( 2{ x }^{ 3 }-3{ x }^{ 2 } \right) +f\left( 6{ x }^{ 2 }-4{ x }^{ 3 }-3 \right)$ $\forall \ x\ \in \ R$ and $f^{''}\left( x \right) > 0$, $\forall \ x \in \ R$, then $g\left ( x \right)$ is increasing in the interval