Question

The domain of the variable in the expression $\frac{x-3}{x+4}$is _________.

Short answer

The domain of the given expression is$\left\{x\right|x\ne -4\}$.

Step-by-step solution

Step 1. Given Information

In the given question we have to find the domain of the variable in the expression$\frac{x-3}{x+4}$is _________.

Step 2. The given expression is x-3x+4.

The given function tells us to divide $x-3$by $x+4$. Since division by $0$is not defined, the denominator $x+4$can never be $0$, so $x$can never equal $-4$.

The domain of the given function is

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