Question

question #8
determine the domain restriction(s) or excluded values of the following rational expression: $\frac{4x - 1}{5x}$
$x = 5$
$x=-\frac{1}{4}$
$x = 0$
$x=\frac{1}{4}$

Explanation:

Step1: Recall domain - rule for rational expressions

A rational expression $\frac{a}{b}$ is undefined when $b = 0$. In the given expression $\frac{4x - 1}{5x}$, the denominator is $5x$.

Step2: Set the denominator equal to 0

Set $5x=0$.

Step3: Solve for x

Dividing both sides of the equation $5x = 0$ by 5, we get $x = 0$.

Answer:

C. $x = 0$