$$f(x)=e^{2}+g(x)-2e-; f(x+1)-x^{2}-3x+2; f(x)=\forall; f(x)=\sqrt{x^{2}-1}f(\sqrt[3]{x^{2}+1})=m$$
$f=\frac{3\left(x^{2}-1\right)^{-\frac{1}{2}}x}{x^{2}+1}$
$x\neq -1\text{ and }x\neq 1\text{ and }x\neq -i\text{ and }x\neq i$
$f=\frac{3x}{\sqrt{x^{2}-1}\left(x^{2}+1\right)}$
$|x|>1$