यदि \(f:\mathbb{R}\to\mathbb{R}\) को (f(x)=\frac{1}{|x|-2}) से दिया जाए तो सही प्रांत क्या होना चाहिए?
If \(f:\mathbb{R}\to\mathbb{R}\) is given by (f(x)=\frac{1}{|x|-2}), what should be the correct domain?
Explanation opens after your attempt
Correct Answer
A. \(\mathbb{R}-{-2,2}\)
Concept
The denominator must be non-zero, so \(|x|-2\ne0\) and \(x\ne\pm2\). In modulus denominators check both signs.
Why this answer is correct
The correct answer is A. \(\mathbb{R}-{-2,2}\). The denominator must be non-zero, so \(|x|-2\ne0\) and \(x\ne\pm2\). In modulus denominators check both signs.
Exam Tip
हर शून्य न हो, इसलिए \(|x|-2\ne0\) और \(x\ne\pm2\) चाहिए। मापांक वाले हर में दोनों चिन्ह जांचें।
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