यदि (f(x)=\sqrt{x-1}) और (g(x)=x-5) हैं, तो \(\frac{f}{g}\) का प्रांत क्या है?
If (f(x)=\sqrt{x-1}) and (g(x)=x-5), what is the domain of \(\frac{f}{g}\)?
Explanation opens after your attempt
Correct Answer
A. \([1,\infty\)\setminus{5})
Concept
The square root needs \(x\ge 1\), and the denominator needs \(x\ne 5\). Apply both conditions together.
Why this answer is correct
The correct answer is A. \([1,\infty\)\setminus{5}). The square root needs \(x\ge 1\), and the denominator needs \(x\ne 5\). Apply both conditions together.
Exam Tip
वर्गमूल के लिए \(x\ge 1\) और हर के लिए \(x\ne 5\) चाहिए। दोनों शर्तों को साथ लगाएं।
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