Answer
Domain of\[f=\left\{ x|x\ne 2,x\ne -6 \right\}\]
Work Step by Step
Division by zero is undefined, so exclude from the domain each function value of x for which the denominator is zero.
The denominator of $g\left( x \right)=\frac{2{{x}^{2}}}{\left( x-2 \right)\left( x+6 \right)}$ is 0 if $x=2$ and $x=-6$
Thus, x cannot be 2 and -6.
Domain of $f=\left\{ x|x\ne 2,x\ne -6 \right\}$.
