Given the two functions $f$ and $g$, find $f+g$ and identify the domain.

$f\(\left\)(x\(\right\))=11x^2-3x-7$, $g\(\left\)(x\(\right\))=3x-4$

Given the two functions $f$ and $g$, find $fg$ and identify the domain.

$f\(\left\)(x\(\right\))=\(\sqrt{x}\)$, $g\(\left\)(x\(\right\))=x+17$