Question

2-35. what number is not part of the $f(x)=\frac{3}{x + 5}$? domain? how can you tell?

Explanation:

Step1: Recall domain - denominator rule

The denominator of a fraction cannot be zero.

Step2: Set denominator equal to zero

Set $x + 5=0$.

Step3: Solve for x

$x=- 5$.

Answer:

The number $x = - 5$ is not part of the domain because setting the denominator $x + 5$ equal to zero makes the function $f(x)=\frac{3}{x + 5}$ undefined.