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If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^2-4x+6), which statement is correct?यदि (f:\mathbb{R}\to\mathbb{R}) तथा (f(x)=x^2-4x+6) हो तो कौन सा कथन सही है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: It is not one-oneयह एकैकी नहीं है
Step 1: (x^2-4x+6=(x-2)^2+2). Step 2: (f(1)=3) and (f(3)=3), while (1\neq3). Step 3: A quadratic function on the whole real domain is generally not one-one.चरण 1: (x^2-4x+6=(x-2)^2+2) है। चरण 2: (f(1)=3) और (f(3)=3) जबकि (1\neq3)। चरण 3: पूरे वास्तविक प्रांत पर द्विघात फलन सामान्यतः एकैकी नहीं होता।
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