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

If the range of the function $f(x) = \frac{5-x}{x^2-3x+2}$,$x \neq 1, 2$,is $(-\infty, \alpha] \cup [\beta, \infty)$,then $\alpha^2 + \beta^2$ is equal to :

What is the range of values for $\frac{x}{x^2 + 4}$ for all real values of $x$?

Range of the function $f(x) = \sin^2(x^4) + \cos^2(x^4)$ is

If $f:[2,3] \rightarrow R$ is defined by $f(x)=x^3+3x-2$,then the range of $f(x)$ is contained in the interval

If $f: R \rightarrow R$ is defined by $f(x)=[2x]-2[x]$ for $x \in R$, where $[x]$ is the greatest integer not exceeding $x$, then the range of $f$ is: