\[g(x) = \frac{x^{2} - 3}{x^{2} + 5}\]
\[\frac{x^{2} - 3}{x^{2} + 5} = 0\]
\[x^{2} = 3\]
\[\ x = \pm \sqrt{3}\]
\[С\ осью\ x \Longrightarrow \left( - \sqrt{3};\ \ 0 \right),\ \ \ \ \ \left( \sqrt{3};0 \right)\]
\[g(0) = - \frac{3}{5}\]
\[С\ осью\ y \Longrightarrow \ \ \left( 0;\ - \frac{3}{5} \right)\]
\[Ответ:\ \ \ \left( - \sqrt{3};\ \ 0 \right),\ \left( \sqrt{3};\ \ 0 \right),\ \]
\[\left( 0;\ - \frac{3}{5} \right).\]