Answer
$D_{f/g}=(D_f\cap D_g)-\{x\in\mathbb{R}|g(x)=0\}$
Work Step by Step
If the equations for two functions $f$ and $g$ are given, to find the quotient function we divide the function numerator by the denominator function: $f/g$.
For the given functions $f$ and $g$, the domains are $D_f$ and $D_g$. To find the domain of the quotient function $f/g$ we first consider the domain of each function and exclude from their intersection the values of the variable for which $g(x)=0$.
$D_{f/g}=(D_f\cap D_g)-\{x\in\mathbb{R}|g(x)=0\}$
