Question

determine the domain of the variable x in the given expression.

\frac{x - 20}{x + 98}

choose the correct domain below.

a. the domain is \\{x \mid x \
eq \box\\}.
(use a comma to separate answers as needed.)

Explanation:

Identify the domain constraint

For a rational expression, the denominator cannot be zero.
The given expression is:

$$ \frac{x - 20}{x + 98} $$

Set up the inequality

To find the excluded values, set the denominator unequal to zero:

$$ x + 98 eq 0 $$

Solve for x

Subtract 98 from both sides to isolate the variable:

$$ x eq -98 $$

State the final domain

The domain consists of all real numbers except \(-98\).
In set-builder notation, this is written as:

$$ \{x \mid x eq -98\} $$

Answer:

Determine the domain of the variable x in the given expression.

$$ \frac{x - 20}{x + 98} $$

Choose the correct domain below.
A. The domain is \(\{x \mid x
eq\) <blank>-98</blank>\(\}\).