Chapter A.1, Problem 77AYU

To determine

Domain of the variable $x$ in each expression.

Answer to Problem 77AYU

$\left\{x\text{|}x\ne -4\right\}$

Explanation of Solution

Given:

$\frac{x}{x\text{ + 4}}$

Calculation:

The domain of the variable $x$ in the expression $\frac{x}{x\text{ + 4}}$ is $\left\{x\text{|}x\ne -4\right\}$, since, if $x=-4$, the denominator becomes 0, which is not defined.