Let $f\left(x\right)=2{\tan }^{-1}x\text{ and }g\left(x\right)$be a differentiable function satisfying
$g\left(\frac{\mathrm{x}+2\mathrm{y}}{3}\right)=\frac{\mathrm{g}\left(\mathrm{x}\right)+2\mathrm{g}\left(\mathrm{y}\right)}{3}\mathrm{\forall }\mathrm{x},\mathrm{y}\in \mathrm{R},$ and $\mathrm{g}\left(0\right)=2, {\mathrm{g}}^{\text{'}}\left(0\right)=1$. The number of integers ‘$x$’ satisfying  $f^2\left(g\right(x\left)\right)-5f\left(g\right(x\left)\right)+4>0$$\left(\text{ where }x\in (-10,20)\right)$ is greater than or equal to