What is the domain of this function?

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Question:

What is the domain of this function?

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[tex]\text{We know}\ \sqrt{a}\ \text{is exist for}\ a\geq0.\\\\\text{Therefore the domain of}\ f(x)=3\sqrt{x-2}\ \text{is:}\\\\x-2\geq0\qquad\text{add 2 to both sides}\\\\\boxed{x\geq2\to x\in[2,\ \infty)}[/tex]

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