\[(x - 9)\sqrt{\frac{1}{18 - 2x}} =\]
\[= \sqrt{\frac{1}{2 \cdot (9 - x)} \cdot (x - 9)^{2}} =\]
\[= \sqrt{\frac{(9 - x)²}{2 \cdot (9 - x)}} = \sqrt{\frac{9 - x}{2}},\ x \geq 9\]
\[(x - 9)\sqrt{\frac{1}{18 - 2x}} = - \sqrt{\frac{9 - x}{2}},\]
\[x < 9.\]