यदि (f(x)=\sqrt{x-1}) और (g(x)=x-3) हों, तो (\left\(\frac{g}{f}\right\)(x)) का प्रांत क्या होगा?
If (f(x)=\sqrt{x-1}) and (g(x)=x-3), what is the domain of (\left\(\frac{g}{f}\right\)(x))?
Explanation opens after your attempt
Correct Answer
A. ( \(1,\infty\) )
Concept
The denominator is \(\sqrt{x-1}\), so (x-1>0). In a quotient, the denominator can never be (0).
Why this answer is correct
The correct answer is A. ( \(1,\infty\) ). The denominator is \(\sqrt{x-1}\), so (x-1>0). In a quotient, the denominator can never be (0).
Exam Tip
भाजक \(\sqrt{x-1}\) है, इसलिए (x-1>0) होना चाहिए। भागफल में हर कभी (0) नहीं हो सकता।
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