Question

The domain of $\frac{f}{g}$consists of numbers $x$for which $g\left(x\right)$____ $0$that are in the domains of both ____ and ____.

Short answer

The domain of $\frac{f}{g}$consists of numbers $x$for which localid="1645800837802" $g\left(x\right)\ne 0$that are in the domains of both $\mathit{f}$and .

Step-by-step solution

Step 1. Given information 

The domain of $\frac{f}{g}$consists of numbers $x$for which $g\left(x\right)$____ $0$that are in the domains of both ____ and ____.

Step 2. DEFINITION

The quotient $\frac{f}{g}$is the function defined by

$\left(\frac{f}{g}\right)\left(x\right)=\frac{f\left(x\right)}{g\left(x\right)}g\left(x\right)\ne 0$

Step 3. The answer is,

The domain of $\frac{f}{g}$consists of numbers $x$for which$g\ne 0$that are in the domains of both $f$and$g$.