\[g(x) = \frac{x^{2} - 5}{x^{2} + 1}\]
\[g(0) = - 5\]
\[С\ осью\ y \Longrightarrow (0;\ - 5)\]
\[x^{2} - 5 = 0\]
\[x = \pm \sqrt{5}\]
\[С\ осью\ x \Longrightarrow \left( \sqrt{5};0 \right);\left( - \sqrt{5};0 \right).\]
\[Ответ:\left( \sqrt{5};0 \right);\ \ \left( - \sqrt{5};0 \right);\ \ \]
\[(0;\ - 5).\]