The domain of the function $$f(x)=\frac{1}{\sqrt{x+|x|}}$$ is

The range of the function $f(x)=\frac{x-3}{5-x}, x \neq 5$ is

For $$f(x)=[x]$$, where $$[x]$$ is the greatest integer function, which of the following is true, for every $$x \in \mathbf{R}$$

The domain of the function $$f(x)=\sqrt{x}$$ is