Functions Test ...

Find the domain of $$x$$ if  $$f(x)=\sqrt {x^2-|x|-2}$$

Find the domain of $$x^2+2$$

The domain for, $$f(x)=\cos^{-1}[x]$$ is

The domain of the function $$\displaystyle f(x)=[\sin x] \cos\left ( \frac {\pi}{[x-1]} \right )$$ is

If $$f(x) = \dfrac{2x+5}{x^{2} + x + 5}$$, then $$f\left [ f(- 1 ) \right ]$$ is equal to

Which one of the following relation is a function

If $$f$$ and $$g$$ are one-one functions from $$R\to R$$, then

Which of the following functions are one-one?

The domain of the function $$\displaystyle f(x)=\sqrt{x^{2}-[x]^{2}},$$ where $$[x]=$$ the greatest integer less than or equal to $$x$$, is

If $$f:R\rightarrow R$$ given by $$f(x)={ x }^{ 3 }+({ a+2)x }^{ 2 }+3ax+5$$ is one-one, then $$a$$ belongs to the interval