Find all numbers that must be excluded from the domain of the following rational expression.

Question

4

x+8

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

O A. The number(s)
(Use a comma to separate answers as needed.)

O B. The rational expression is defined for all real numbers.

must be excluded from the domain.

Answer 1

To find the numbers that must be excluded from the domain of the rational expression \( \frac{4}{x+8} \), we need to identify any values of \( x \) that would make the denominator equal to zero, since division by zero is undefined.

Set the denominator equal to zero:

\[ x + 8 = 0 \]

Solving for \( x \), we get:

\[ x = -8 \]

Thus, the number that must be excluded from the domain is -8.

So, the correct choice would be:

A. The number(s) -8