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If (f:\mathbb{R}\to\mathbb{R}), (f(x)=5), which statement is correct?यदि (f:\mathbb{R}\to\mathbb{R}), (f(x)=5) है, तो सही कथन कौन सा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: It is not ontoयह आच्छादी नहीं है
Step 1: In a constant function, every (x) has the image (5). Step 2: The range is ({5}), while the codomain is (\mathbb{R}). Other codomain elements such as (0) and (2) are not obtained. Step 3: A constant function is usually not onto over a large codomain.चरण 1: स्थिर फलन में हर (x) का प्रतिबिंब केवल (5) होता है। चरण 2: परास ({5}) है, जबकि सहप्रांत (\mathbb{R}) है। सहप्रांत के बाकी सदस्य जैसे (0) और (2) नहीं मिलते। चरण 3: स्थिर फलन बड़े सहप्रांत पर सामान्यतः आच्छादी नहीं होता।
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