The range of the real valued function $f(x)=\log _{3}\left(5+4 x-x^{2}\right)$ is

The sum of the maximum and minimum values of the function $f(x)=\frac{x^{2}-x+1}{x^{2}+x+1}$ is

If $f$ is a real valued function from $A$ onto $B$ defined by $f(x)=\frac{1}{\sqrt{|x-|x||}}$, then $A \cap B=$

The domain of the real valued function $f(x)=\sqrt[3]{\frac{x-2}{2 x^2-7 x+5}}+\log \left(x^2-x-2\right)$ is