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Which statement is correct about (f:R\to R), (f(x)=x^2-5)?फलन (f:R\to R), (f(x)=x^2-5) 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(2)=f(-2)=-1), so the function is not one-one. Step 2: Since (x^2-5\ge-5), a number like (-6) cannot be an image. Step 3: Hence it is not onto either.चरण 1: (f(2)=f(-2)=-1), इसलिए फलन एक-एकी नहीं है। चरण 2: (x^2-5\ge-5), इसलिए (-6) जैसी संख्या छवि नहीं बन सकती। चरण 3: अतः यह आच्छादक भी नहीं है।
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