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Definition of Functions

Find the doma...

Question

Find the domain of definition of the following function.
$f (x) = \sqrt{4 x - x^{3}} .$

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Solution

$f (x) = \sqrt{4 x - x^{3}}$
$⟹ 4 x - x^{3} > 0 ⟹ x (x^{2} - 4) < 0 ⟹ x \in (- \infty, - 2) \cup (0, 2)$

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