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If (f(x)=x^2-1) and (g(x)=\sqrt{x-2}), what is the real domain of ((f+g)(x))?यदि (f(x)=x^2-1) और (g(x)=\sqrt{x-2}) हैं, तो ((f+g)(x)) का वास्तविक प्रांत क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (x\ge 2)(x\ge 2)
The domain of a sum is the intersection of both domains, so (x\ge 2). In exams, keep the radicand of a square root non-negative.योग का प्रांत दोनों प्रांतों का प्रतिच्छेद होता है, इसलिए (x\ge 2)। परीक्षा में वर्गमूल के अंदर की राशि को (0) या अधिक रखें।
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