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  • 17-08-2019
  • Mathematics
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what is the domain of y < square root 2x-6

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gmany
gmany gmany
  • 17-08-2019

Answer:

Domain: x ≥ 3 ⇒ x ∈ [3, ∞)

Step-by-step explanation:

[tex]\text{We know:}\ \sqrt{x}\ \text{exist, if}\ x\geq0.\\\\\text{Therefore in}\ y<\sqrt{2x-6}\ \text{we have the domain:}\\\\2x-6\geq0\qquad\text{add 6 to both sides}\\2x\geq6\qquad\text{divide both sides by 2}\\x\geq3[/tex]

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