यदि (f(x)=\sqrt{x-2}) और (g(x)=\sqrt{5-x}) हों, तो ((f+g)(x)) का डोमेन क्या है?
If (f(x)=\sqrt{x-2}) and (g(x)=\sqrt{5-x}), what is the domain of ((f+g)(x))?
Explanation opens after your attempt
Correct Answer
A. ([2,5])
Concept
For both roots, \(x-2\ge 0\) and \(5-x\ge 0\), so \(2\le x\le 5\). For a sum, take the intersection of domains.
Why this answer is correct
The correct answer is A. ([2,5]). For both roots, \(x-2\ge 0\) and \(5-x\ge 0\), so \(2\le x\le 5\). For a sum, take the intersection of domains.
Exam Tip
दोनों मूलों के लिए \(x-2\ge 0\) और \(5-x\ge 0\), इसलिए \(2\le x\le 5\)। जोड़ में डोमेन प्रतिच्छेद होता है।
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