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If (f(x)=\sqrt{x-2}) and (g(x)=\sqrt{5-x}), what is the domain of (f+g)?यदि (f(x)=\sqrt{x-2}) और (g(x)=\sqrt{5-x}) हैं, तो (f+g) का डोमेन क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ( [2,5] )( [2,5] )
The common domain is ( [2,\infty)\cap(-\infty,5]=[2,5] ). For addition, always take the intersection of domains.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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