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If (f(x)=\sqrt{x-3}), what is the real domain of (f)?यदि (f(x)=\sqrt{x-3}) है, तो (f) का वास्तविक प्रांत क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ([3,\infty))([3,\infty))
Step 1: The expression inside the square root must be non-negative. Step 2: (x-3\geq 0), so (x\geq 3). Step 3: For square-root functions, always set the inside expression (\geq 0).चरण 1: वर्गमूल के अंदर की राशि ऋणात्मक नहीं होनी चाहिए। चरण 2: (x-3\geq 0), इसलिए (x\geq 3)। चरण 3: वर्गमूल वाले फलनों में अंदर की राशि को हमेशा (\geq 0) रखें।
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