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Why is (f:R\to R), (f(x)=|x|), not one-one?फलन (f:R\to R), (f(x)=|x|) एक-एकी क्यों नहीं है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Because (f(2)=f(-2))क्योंकि (f(2)=f(-2))
Step 1: For one-one, different inputs must have different images. Step 2: (2\ne -2), but (|2|=|-2|=2). Step 3: Therefore this function is not one-one.चरण 1: एक-एकी होने के लिए अलग आगतों की छवियाँ अलग होनी चाहिए। चरण 2: (2\ne -2), फिर भी (|2|=|-2|=2)। चरण 3: इसलिए यह फलन एक-एकी नहीं है।
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