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Which option gives a rule that is not a function from (\mathbb{R}) to (\mathbb{R})?किस विकल्प में दिया गया नियम (\mathbb{R}) से (\mathbb{R}) में फलन नहीं है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (f(x)=\frac{1}{x})(f(x)=\frac{1}{x})
For (f(x)=\frac{1}{x}), the value is undefined at (x=0). A function from (\mathbb{R}) must have a value for every real (x).(f(x)=\frac{1}{x}) में (x=0) पर मान परिभाषित नहीं है। (\mathbb{R}) से फलन के लिए हर वास्तविक (x) पर मान चाहिए।
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