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If (f:R\to R), (f(x)=x^2+2x), why does an inverse function not exist?यदि (f:R\to R), (f(x)=x^2+2x), तो प्रतिलोम फलन क्यों नहीं बनता?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Because it is not one-oneक्योंकि यह एक-एकी नहीं है
Step 1: For an inverse function to exist, the original function must be one-one. Step 2: (f(0)=0) and (f(-2)=0), while (0\ne-2). Step 3: Since one image has two preimages, the inverse is not a well-defined function.चरण 1: प्रतिलोम फलन के लिए मूल फलन का एक-एकी होना जरूरी है। चरण 2: (f(0)=0) और (f(-2)=0), जबकि (0\ne-2)। चरण 3: एक छवि की दो पूर्वछवियाँ होने से प्रतिलोम फलन स्पष्ट नहीं बनता।
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