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