यदि (f(x)=\sqrt{x-2}) और (g(x)=\sqrt{5-x}) हैं, तो (f+g) का डोमेन क्या होगा?
If (f(x)=\sqrt{x-2}) and (g(x)=\sqrt{5-x}), what is the domain of (f+g)?
Explanation opens after your attempt
Correct Answer
A. ( [2,5] )
Concept
The common domain is \( [2,\infty\)\cap\(-\infty,5]=[2,5] \). For addition, always take the intersection of domains.
Why this answer is correct
The correct answer is A. ( [2,5] ). The common domain is \( [2,\infty\)\cap\(-\infty,5]=[2,5] \). For addition, always take the intersection of domains.
Exam Tip
दोनों फलनों के डोमेन का प्रतिच्छेद \( [2,\infty\)\cap\(-\infty,5]=[2,5] \) है। परीक्षा में जोड़ के लिए हमेशा डोमेन का प्रतिच्छेद लें।
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