[填空题]
$\text { Let } g(x)=\frac{8-2 x}{\sqrt{9+8 x-x^{2}}} \text {. The following diagram shows part of the graph of } g \text {. }$
$\text { The region } R \text { is enclosed by the graph of } g \text {, the } x \text {-axis, and the } y \text {-axis. Find the area of } R \text {. }$