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Compute the domain of the real-valued function $f(x) = \sqrt{1 + \sqrt{2 - \sqrt{x}}}$.

 
 Oct 13, 2021
 #1
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The domain is [3,4]

 
 Oct 13, 2021
 #2
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\(x\ge 0\qquad(1)\\ 2-\sqrt x \ge 0\\-\sqrt x \ge-2\\ \sqrt x \le 2\\ x\le 4\qquad (2)\\ domain\;\;\;[0,4] \)

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 Oct 14, 2021

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