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What is the domain of (f(x)=\sqrt{\log_3(x-2)})?फलन (f(x)=\sqrt{\log_3(x-2)}) का प्रांत क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ( [3,\infty) )( [3,\infty) )
The square root requires (\log_3(x-2)\ge0), giving (x-2\ge1). The condition (x-2>0) is already satisfied.वर्गमूल के लिए (\log_3(x-2)\ge0) चाहिए जिससे (x-2\ge1) मिलता है। साथ में (x-2>0) पहले से पूरा है।
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