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If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^6), why is (f) not one-one?यदि (f:\mathbb{R}\to\mathbb{R}) तथा (f(x)=x^6) हो तो (f) एकैकी क्यों नहीं है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Because (f(1)=f(-1))क्योंकि (f(1)=f(-1))
Step 1: (1) and (-1) are different real numbers. Step 2: (1^6=(-1)^6=1), so the same value is obtained. Step 3: Even-power functions are not one-one on the whole real domain.चरण 1: (1) और (-1) अलग वास्तविक संख्याएँ हैं। चरण 2: (1^6=(-1)^6=1) इसलिए समान मान मिलता है। चरण 3: सम घात वाले फलन पूरे वास्तविक प्रांत पर एकैकी नहीं होते।
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