फलन (f(x)=\frac{\sqrt{2x-1}}{x+4}) का डोमेन क्या है?
What is the domain of (f(x)=\frac{\sqrt{2x-1}}{x+4})?
Explanation opens after your attempt
Correct Answer
A. \([\frac{1}{2},\infty\))
Concept
The square root needs \(2x-1\ge 0\), so \(x\ge \frac{1}{2}\). Since (x=-4) is not in this interval, it need not be removed separately.
Why this answer is correct
The correct answer is A. \([\frac{1}{2},\infty\)). The square root needs \(2x-1\ge 0\), so \(x\ge \frac{1}{2}\). Since (x=-4) is not in this interval, it need not be removed separately.
Exam Tip
वर्गमूल के लिए \(2x-1\ge 0\) से \(x\ge \frac{1}{2}\) मिलता है। (x=-4) इस अंतराल में नहीं है, इसलिए अलग से हटाने की जरूरत नहीं है।
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