यदि (f(x)=\frac{x}{|x|}), तो (f) का प्रांत और परिसर कौन सा है?
If (f(x)=\frac{x}{|x|}), which are the domain and range of (f)?
Explanation opens after your attempt
Correct Answer
A. प्रांत \( \mathbb{R}\setminus{0} \), परिसर ( {-1,1} )domain \( \mathbb{R}\setminus{0} \), range ( {-1,1} )
Concept
At (x=0), the denominator becomes (0). For positive (x), the value is (1), and for negative (x), it is (-1).
Why this answer is correct
The correct answer is A. प्रांत \( \mathbb{R}\setminus{0} \), परिसर ( {-1,1} ) / domain \( \mathbb{R}\setminus{0} \), range ( {-1,1} ). At (x=0), the denominator becomes (0). For positive (x), the value is (1), and for negative (x), it is (-1).
Exam Tip
(x=0) पर हर (0) हो जाता है। धनात्मक (x) पर मान (1) और ऋणात्मक (x) पर (-1) है।
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