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If (f:[1,\infty)\to\mathbb{R}), (f(x)=x+\frac{1}{x}), choose the correct option for (f).यदि (f:[1,\infty)\to\mathbb{R}), (f(x)=x+\frac{1}{x}), तो (f) के लिए सही विकल्प चुनिए।
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: It is one-oneएकैकी है
Step 1: For (x\geq 1), as (x) increases, (x+\frac{1}{x}) also increases. Step 2: In this domain, two different values do not form the same image through (x) and (\frac{1}{x}). Step 3: The same formula can become one-one on a restricted domain.चरण 1: (x\geq 1) पर जैसे-जैसे (x) बढ़ता है, (x+\frac{1}{x}) भी बढ़ता है। चरण 2: इस क्षेत्र में (x) और (\frac{1}{x}) वाले दो अलग मान समान छवि नहीं बनाते। चरण 3: वही सूत्र अलग क्षेत्र पर एकैकी बन सकता है।
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