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If (f(x)=\sqrt{x-2}) and (g(x)=\sqrt{5-x}), what is the domain of ((f+g)(x))?यदि (f(x)=\sqrt{x-2}) और (g(x)=\sqrt{5-x}) हों, तो ((f+g)(x)) का डोमेन क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ([2,5])([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.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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