ГДЗ по алгебре 9 класс Макарычев ФГОС Задание 340

\[\boxed{\text{341.}\text{\ }\text{ОК\ ГДЗ\ -\ домашка\ на\ 5}}\]

\[\textbf{а)}\ y = \ \frac{1}{\sqrt{144 - 9x^{2}}},\]

\[\ \ 144 - 9x^{2} > 0,\]

\[9x^{2} - 144 < 0\]

\[(3x - 12)(3x + 12) < 0\]

\[x \in ( - 4;4).\]

\[\textbf{б)}\ y = \frac{\sqrt{16 - 24x + 9x^{2}}}{x + 2}\]

\[\left\{ \begin{matrix} 9x^{2} - 24x + 16 \geq 0 \\ x + 2 \neq 0\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \\ \end{matrix} \right.\ \Longrightarrow\]

\[\Longrightarrow \left\{ \begin{matrix} (3x - 4)^{2} \geq 0 \\ x \neq - 2\ \ \ \ \ \ \ \ \ \ \ \\ \end{matrix} \right.\ \Longrightarrow x \neq - 2.\]

\[x \in ( - \infty; - 2) \cup ( - 2; + \infty).\]