Aspire Faculty ID #13746 · Topic: JAMIA MILLIA ISLAMIA MCA 2022 · Just now
JAMIA MILLIA ISLAMIA MCA 2022

The domain of $\sqrt{|x-2|-1}+\sqrt{\,3-|x-2|\,}$ is:

Solution

$\sqrt{|x-2|-1}$ needs $|x-2|\ge1\Rightarrow x\le1$ or $x\ge3$. $\sqrt{3-|x-2|}$ needs $|x-2|\le3\Rightarrow x\in[-1,5]$. Intersection $\Rightarrow [-1,1]\cup[3,5]$.

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