फलन (f(x)=\sqrt{1-|x-2|}) का प्रांत क्या है?
What is the domain of (f(x)=\sqrt{1-|x-2|})?
Explanation opens after your attempt
A. ( [1,3] )
Concept
The square root needs \(1-|x-2|\ge 0\). Thus \(|x-2|\le 1\), so \(1\le x\le 3\).
Why this answer is correct
The correct answer is A. ( [1,3] ). The square root needs \(1-|x-2|\ge 0\). Thus \(|x-2|\le 1\), so \(1\le x\le 3\).
Exam Tip
वर्गमूल के लिए \(1-|x-2|\ge 0\) चाहिए। इसलिए \(|x-2|\le 1\), यानी \(1\le x\le 3\)।
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