The range of the real valued function $$f(x)=\sqrt{\frac{x^2+2 x+8}{x^2+2 x+4}}$$ is

If $$f(x)=\sqrt{2-x^2}$$ and $$g(x)=\log (1-x)$$ are two real valued functions, then the domain of the function $$(f+g)(x)$$ is

Let $$f(x)=(x+2)^2-2, x \geq-2$$. Then, $$f^{-1}(x)$$ is equal to

If $$f$$ is the greatest integers function defined on $$R$$ as $$f(x)=[x]$$ and $$g$$ is the modulus function defined on $R$ as $$g(x)=|x|$$, then the value of $$(g \circ f)\left(\frac{-5}{3}\right)$$ is