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

$f\left(x\right)=\sqrt{2x+11}$, $g\left(x\right)=\sqrt{x-9}$

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

$f\left(x\right)=36-x^2$, $g\left(x\right)=x^2+11x-7$

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

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

Given the two functions $f$ and $g$, find $\frac{f}{g}$ and identify the domain.

$f\left(x\right)=14-\frac{3}{x}$, $g\left(x\right)=\frac{3}{x}$

Given the two functions $f$ and $g$, find $\frac{f}{g}$ and identify the domain.

$f\left(x\right)=\frac{18x}{x-6},g\left(x\right)=\frac{16}{x+10}$

Consider $f\left(x\right)=3x^3+1$ and $g\left(x\right)=-7x+6$. Evaluate the following expression: $(fg)(-1)$