Question

what is the domain of this square root function?

\\f(x) = \sqrt{3x - 27} - 20\\

\\x \ge ?\\

Explanation:

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<reasoning>

Set up the radicand inequality

\[
3x - 27 \ge 0
\]

Solve the inequality for x

\[

$$\begin{aligned} 3x &\ge 27 \\ x &\ge 9 \end{aligned}$$

\]
</reasoning>

<answer>
What is the domain of this square root function?
\(f(x) = \sqrt{3x - 27} - 20\)
\(x \ge\) <blank>9</blank>
</answer>

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"Mathematics",
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Answer:

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</pre_analysis>

<reasoning>

Set up the radicand inequality

\[
3x - 27 \ge 0
\]

Solve the inequality for x

\[

$$\begin{aligned} 3x &\ge 27 \\ x &\ge 9 \end{aligned}$$

\]
</reasoning>

<answer>
What is the domain of this square root function?
\(f(x) = \sqrt{3x - 27} - 20\)
\(x \ge\) <blank>9</blank>
</answer>

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"Mathematics",
"Algebra",
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