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If (f(x)=\frac{x}{|x|}), what are the domain and range of (f)?यदि (f(x)=\frac{x}{|x|}) है तो (f) का प्रांत और परिसर क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Domain (\mathbb{R}\setminus{0}), range ({-1,1})प्रांत (\mathbb{R}\setminus{0}), परिसर ({-1,1})
The denominator (|x|) must be non-zero, so (x\ne 0). Positive (x) gives (1), and negative (x) gives (-1).हर (|x|) शून्य नहीं होना चाहिए इसलिए (x\ne 0) है। धनात्मक (x) पर मान (1) और ऋणात्मक (x) पर (-1) मिलता है।
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