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What is the domain of (f(x)=\frac{\sqrt{2x-1}}{x+4})?फलन (f(x)=\frac{\sqrt{2x-1}}{x+4}) का डोमेन क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ([\frac{1}{2},\infty))([\frac{1}{2},\infty))
The square root needs (2x-1\ge 0), so (x\ge \frac{1}{2}). Since (x=-4) is not in this interval, it need not be removed separately.वर्गमूल के लिए (2x-1\ge 0) से (x\ge \frac{1}{2}) मिलता है। (x=-4) इस अंतराल में नहीं है, इसलिए अलग से हटाने की जरूरत नहीं है।
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