Range of the function $f(x) = 9 - 7 \sin x$ is

The domain of definition of the function $y(x)$ given by $2^x + 2^y = 2$ is

Domain of the function $\sqrt{\log \left\{ \frac{5x - x^2}{6} \right\}}$ is

The domain of the function $y=f(x)$,where $x$ and $y$ are related by $2^x+2^y=2$ is

If $D$ is the domain and $G$ is the range of the real-valued function $f(x)=\sqrt{\frac{1-x^2}{1+x^2}}$, then $D \cap G=$

Let $D = \{x \in R : f(x) = \sqrt{\frac{x-|x|}{x-[x]}} \text{ is defined} \}$ and $C$ be the range of the real function $g(x) = \frac{2x}{4+x^2}$. Then $D \cap C =$