Постройте график функции: y=(x^2-6x+8)/корень из (x^2-4x+4).

\[y = \frac{x^{2} - 6x + 8}{\sqrt{x^{2} - 4x + 4}} =\]

\[= \frac{(x - 4)(x - 2)}{\sqrt{(x - 2)^{2}}} =\]

\[= \frac{(x - 4)(x - 2)}{|x - 2|};\ \ \ \ \ x \neq 2\]

\[x^{2} - 6x + 8 = 0\]

\[D = ( - 6)^{2} - 4 \cdot 1 \cdot 8 =\]

\[= 36 - 32 = 4;\ \ \ \sqrt{D} = 2.\]

\[x_{1} = \frac{6 + 2}{2} = \frac{8}{2} = 4;\ \ \]

\[\ x_{2} = \frac{6 - 2}{2} = \frac{4}{2} = 2.\]