Functions Test ...

If $$f(x)=x, g(x)=2x^{2}+1$$ and $$h(x)=x+1$$  then  $$(hogof)(x)$$ is equal to

The domain of $$f(x) =\displaystyle \frac{1}{\left | x \right |+x}$$ is

The domain of $$f(x)=\sqrt{1-\left | x \right |}$$ is

If $$f(x)=(1-x)^{1/2}$$ and $$g(x)= \ln(x)$$  then  the  domain  of $$(gof)(x)$$ is

The domain of $$f(x) = \displaystyle \frac{1}{\log\left | x \right |}$$ is

The domain of $$f(x)=\sin^{-1}(3x)$$ is

The domain of $$f(x)= \displaystyle \frac{1}{\sqrt{x^{2}-4}} $$ is

The domain of $$ f(x) =\dfrac{1}{\sqrt{x^{2}+2x+9}}$$ is

The domain of $$\cosh^{-1} 5x $$ is

The domain of $$\log_{a} \sin^{-1}x$$  is $$(a>0,a\neq 1)$$