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Which statement is correct about (f:R\to R), (f(x)=x^2+1)?फलन (f:R\to R), (f(x)=x^2+1) के बारे में सही कथन कौन-सा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: It is neither one-one nor ontoयह न एक-एकी है न आच्छादक
Step 1: (f(1)=f(-1)=2), so it is not one-one. Step 2: Since (x^2+1\ge1), a real number like (0) cannot be an image. Step 3: Therefore it is not onto either.चरण 1: (f(1)=f(-1)=2), इसलिए यह एक-एकी नहीं है। चरण 2: (x^2+1\ge1), इसलिए (0) जैसी वास्तविक संख्या छवि नहीं बन सकती। चरण 3: इसलिए यह आच्छादक भी नहीं है।
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