Question

3.1.51
1 part | -- of 1 point

find the domain of the function.

(f(x) = -4x + 8)

the domain is . (type your answer in interval notation.)

Explanation:

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<reasoning>

Identify the function type

Using the Domain and Range knowledge point
\[
f(x) = -4x + 8
\]

Analyze domain restrictions

Using the Domain and Range knowledge point

• No division by zero exists.
• No square roots of negative numbers exist.
• The polynomial is defined for all real numbers.

\[
x \in (-\infty, \infty)
\]
</reasoning>

<answer>
Find the domain of the function.
\(f(x) = -4x + 8\)

The domain is <blank>\((-\infty, \infty)\)</blank>. (Type your answer in interval notation.)
</answer>

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"question_type": "Fill-in-the-blank",
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"Mathematics",
"Algebra",
"Domain and Range"
]
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Answer:

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</pre_analysis>

<reasoning>

Identify the function type

Using the Domain and Range knowledge point
\[
f(x) = -4x + 8
\]

Analyze domain restrictions

Using the Domain and Range knowledge point

• No division by zero exists.
• No square roots of negative numbers exist.
• The polynomial is defined for all real numbers.

\[
x \in (-\infty, \infty)
\]
</reasoning>

<answer>
Find the domain of the function.
\(f(x) = -4x + 8\)

The domain is <blank>\((-\infty, \infty)\)</blank>. (Type your answer in interval notation.)
</answer>

<post_analysis>
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"question_type": "Fill-in-the-blank",
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"Mathematics",
"Algebra",
"Domain and Range"
]
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