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Why is (f:R\to R), (f(x)=x^2+4), not onto?फलन (f:R\to R), (f(x)=x^2+4) आच्छादक क्यों नहीं है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Because (2) cannot be its imageक्योंकि (2) इसकी छवि नहीं हो सकता
Step 1: Since (x^2\ge 0), (x^2+4\ge 4). Step 2: The codomain (R) contains (2), but no real (x) can map to it. Step 3: Therefore the range is not all of (R), so the function is not onto.चरण 1: (x^2\ge 0), इसलिए (x^2+4\ge 4)। चरण 2: सहप्रान्त (R) में (2) है, पर कोई वास्तविक (x) इसे छवि नहीं बना सकता। चरण 3: इसलिए परास पूरा (R) नहीं है और फलन आच्छादक नहीं है।
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