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Summation by Sigma Method

Find the doma...

Question

Find the domain of definition of the following function:
$y = \frac{\sqrt{x^{2} - 5 x + 6}}{log (x + 10)^{2}}$

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Solution

$y = \frac{\sqrt{x^{2} - 5 x + 6}}{log (x + 10)^{2}} ⟹ x^{2} - 5 x + 6 \geq 0 ⟹ x \in [2, 3]$

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