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Choose the correct option for (f:[-3,\infty)\to\mathbb{R}), (f(x)=\sqrt{x+3}).फलन (f:[-3,\infty)\to\mathbb{R}), (f(x)=\sqrt{x+3}) के लिए सही विकल्प चुनिए।
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: It is one-oneयह एकैकी है
Step 1: In the domain ([-3,\infty)), (x+3\ge0). Step 2: As (x) increases, both (x+3) and (\sqrt{x+3}) increase, so the image does not repeat. Step 3: A square-root form is usually increasing on its natural domain.चरण 1: प्रांत ([-3,\infty)) में (x+3\ge0) है। चरण 2: (x) बढ़ने पर (x+3) और (\sqrt{x+3}) दोनों बढ़ते हैं, इसलिए प्रतिबिंब नहीं दोहरता। चरण 3: वर्गमूल रूप सामान्यतः अपने प्राकृतिक प्रांत पर बढ़ता हुआ होता है।
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