Найдите область определения функции y=корень из (10-7x+x^2).

\[y = \sqrt{10 - 7x + x^{2}}\]

\[x^{2} - 7x + 10 \geq 0\]

\[x_{1} + x_{2} = 7;\ \ x_{1} \cdot x_{2} = 10\]

\[x_{1} = 5;\ \ x_{2} = 2.\]

\[(x - 2)(x - 5) \geq 0\]

\[x \leq 2;\ \ x \geq 5.\]

\[D(y) = ( - \infty;2\rbrack \cup \lbrack 5; + \infty).\]