A：y=-$\sqrt{1+{\log }_{3}x}$$\left(x\ge \frac{1}{3}\right)$

B：y=-$\sqrt{1+{\log }_{3}x}$$\left(\frac{1}{3}<x\le 1\right)$

C：y=$\sqrt{1+{\log }_{3}x}$$\left(\frac{1}{3}<x\le 1\right)$

D：y=$\sqrt{1+{\log }_{3}x}$$\left(x\ge \frac{1}{3}\right)$