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Why is (f:R\to R), (f(x)=x^2-9), not one-one?फलन (f:R\to R), (f(x)=x^2-9) एक-एकी क्यों नहीं है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Because (f(3)=f(-3))क्योंकि (f(3)=f(-3))
Step 1: In a one-one function, different inputs have different images. Step 2: (3\ne -3), but (f(3)=0) and (f(-3)=0). Step 3: Therefore this function is not one-one.चरण 1: एक-एकी में अलग आगतों की छवियाँ अलग होती हैं। चरण 2: (3\ne -3), पर (f(3)=0) और (f(-3)=0)। चरण 3: इसलिए यह फलन एक-एकी नहीं है।
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