Найдите область определения функции y=11/(корень из (9+7x-2x^2)).

\[y = \frac{11}{\sqrt{9 + 7x - 2x^{2}}}\]

\[9 + 7x - 2x^{2} > 0\]

\[2x^{2} - 7x - 9 < 0\]

\[D = 49 + 72 = 121\]

\[x_{1} = \frac{7 + 11}{4} = \frac{18}{4} = 4,5;\]

\[x_{2} = \frac{7 - 11}{4} = - 1\]

\[2(x + 1)(x - 4,5) < 0\]

\[D(y) = ( - 1;4,5).\]