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If (f(x)=\sqrt{2x-6}), what is the real domain?यदि (f(x)=\sqrt{2x-6}), तो वास्तविक प्रान्त कौन-सा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ([3,\infty))([3,\infty))
Step 1: The expression inside the square root, (2x-6), must be non-negative. Step 2: From (2x-6\ge0), we get (x\ge3). Step 3: At (x=3), the value is (0), so (3) is included.चरण 1: वर्गमूल के अंदर (2x-6) ऋणात्मक नहीं होना चाहिए। चरण 2: (2x-6\ge0) से (x\ge3) मिलता है। चरण 3: (x=3) पर मान (0) है, इसलिए (3) शामिल होगा।
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