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# Domain

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What is the domain of the real-valued function (2x - 7) sqrt(x^2 - 5x + 6)?

Nov 29, 2021

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What is the domain of the real-valued function (2x - 7) sqrt(x^2 - 5x + 6)?

$$\qquad (2x - 7) \sqrt{x^2 - 5x + 6}\\ \qquad x^2-5x+6\ge0\\ \qquad (x-2)(x-3)\ge0\\ \qquad x\le2\qquad or \qquad x\ge 3$$

Dec 8, 2021