यदि (f(x)=\sqrt{x+3}) और (g(x)=\sqrt{x-1}) हैं, तो \(\frac{f}{g}\) का डोमेन क्या होगा?
If (f(x)=\sqrt{x+3}) and (g(x)=\sqrt{x-1}), what is the domain of \(\frac{f}{g}\)?
Explanation opens after your attempt
Correct Answer
A. ( \(1,\infty\) )
Concept
The denominator is (g(x)), so \(\sqrt{x-1}\neq0\) and (x>1) are required. In division, the denominator radical cannot be zero.
Why this answer is correct
The correct answer is A. ( \(1,\infty\) ). The denominator is (g(x)), so \(\sqrt{x-1}\neq0\) and (x>1) are required. In division, the denominator radical cannot be zero.
Exam Tip
हर (g(x)) है, इसलिए \(\sqrt{x-1}\neq0\) और (x>1) चाहिए। भाग में हर वाले मूल को शून्य नहीं होने देना है।
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