Question

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

\\\frac{7}{x - 4}\\

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

a. the number(s) must be excluded from the domain.
(use a comma to separate answers as needed.)

b. the rational expression is defined for all real numbers.

Explanation:

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<reasoning>

Identify the condition for domain exclusion

Using the Rational Functions knowledge point
\[
x - 4 = 0
\]

Solve for the excluded value

Using the Rational Functions knowledge point
\[
x = 4
\]
</reasoning>

<answer>
<mcq-correct>(A) The number(s) 4 must be excluded from the domain.</mcq-correct>
<mcq-option>(B) The rational expression is defined for all real numbers.</mcq-option>
</answer>

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"Mathematics",
"Algebra",
"Rational Functions"
]
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Answer:

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</pre_analysis>

<reasoning>

Identify the condition for domain exclusion

Using the Rational Functions knowledge point
\[
x - 4 = 0
\]

Solve for the excluded value

Using the Rational Functions knowledge point
\[
x = 4
\]
</reasoning>

<answer>
<mcq-correct>(A) The number(s) 4 must be excluded from the domain.</mcq-correct>
<mcq-option>(B) The rational expression is defined for all real numbers.</mcq-option>
</answer>

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"Mathematics",
"Algebra",
"Rational Functions"
]
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