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Why is (f:R\to R), (f(x)=x^2-4), not one-one?फलन (f:R\to R), (f(x)=x^2-4) 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: In a one-one function, different inputs must have different images. Step 2: (2\ne -2), but (f(2)=0) and (f(-2)=0). Step 3: Therefore this function is not one-one.चरण 1: एक-एकी फलन में अलग आगतों की छवियाँ अलग होनी चाहिए। चरण 2: (2\ne -2), लेकिन (f(2)=0) और (f(-2)=0)। चरण 3: इसलिए यह फलन एक-एकी नहीं है।
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