यदि \(f:\mathbb{R}\to\mathbb{R}\) को (f(x)=\frac{1}{|2x-1|-5}) से दिया जाए, तो सही प्रांत क्या होना चाहिए?
If \(f:\mathbb{R}\to\mathbb{R}\) is given by (f(x)=\frac{1}{|2x-1|-5}), what should be the correct domain?
Explanation opens after your attempt
Correct Answer
A. \(\mathbb{R}-{-2,3}\)
Concept
The denominator must be non-zero, so \(|2x-1|\ne5\). This gives (2x-1=5) or (2x-1=-5), so (x=3,-2) are excluded.
Why this answer is correct
The correct answer is A. \(\mathbb{R}-{-2,3}\). The denominator must be non-zero, so \(|2x-1|\ne5\). This gives (2x-1=5) or (2x-1=-5), so (x=3,-2) are excluded.
Exam Tip
हर शून्य न हो, इसलिए \(|2x-1|\ne5\) चाहिए। इससे (2x-1=5) या (2x-1=-5), यानी (x=3,-2) हटते हैं।
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