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Choose the correct option about the one-one nature of (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3).फलन (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3) की एकैकीता के बारे में सही विकल्प चुनिए।
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: It is one-oneएकैकी है
Step 1: (x^3) is an increasing function. Step 2: If (a^3=b^3), then (a=b). Step 3: On the whole real set, (x^3) is a good example of a one-one function.चरण 1: (x^3) बढ़ता हुआ फलन है। चरण 2: यदि (a^3=b^3) तो (a=b) ही होगा। चरण 3: पूरे वास्तविक समुच्चय पर (x^3) एकैकी का अच्छा उदाहरण है।
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