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If (f:R\to R), (f(x)=|x+3|+2), why is it not onto?यदि (f:R\to R), (f(x)=|x+3|+2), तो यह आच्छादक क्यों नहीं है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Because (1) cannot be its imageक्योंकि (1) इसकी छवि नहीं हो सकता
Step 1: The value of (|x+3|+2) is always at least (2). Step 2: The codomain (R) contains (1), but it cannot be the image of any (x). Step 3: Therefore the function is not onto.चरण 1: (|x+3|+2) का मान हमेशा (2) या उससे बड़ा होता है। चरण 2: सहप्रान्त (R) में (1) है, लेकिन वह किसी (x) की छवि नहीं बन सकता। चरण 3: इसलिए फलन आच्छादक नहीं है।
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