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Which option will not define a function (f:\mathbb{R}\to\mathbb{R}) on all of (\mathbb{R})?किस विकल्प में (f:\mathbb{R}\to\mathbb{R}) पूरे (\mathbb{R}) पर फलन नहीं बनेगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (f(x)=\sqrt{x-5})(f(x)=\sqrt{x-5})
The expression (\sqrt{x-5}) is real only when (x\ge5). A function on all of (\mathbb{R}) needs a value for every real input.(\sqrt{x-5}) वास्तविक तभी है जब (x\ge5) हो। पूरे (\mathbb{R}) पर फलन के लिए हर वास्तविक इनपुट पर मान चाहिए।
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