Q. 3 - Precalculus Enhanced with Graphing Utilities

Question

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

Step-by-Step Solution

Answer

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

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 - 3 x + 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 

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