यदि (f(x)=\frac{1}{\sqrt{x-1}}) और (g(x)=x) हैं, तो ((f+g)(x)) का प्रांत क्या है?
If (f(x)=\frac{1}{\sqrt{x-1}}) and (g(x)=x), what is the domain of ((f+g)(x))?
Explanation opens after your attempt
Correct Answer
A. (x>1)
Concept
The denominator has \(\sqrt{x-1}\), so (x-1>0) is required. Hence the domain is (x>1).
Why this answer is correct
The correct answer is A. (x>1). The denominator has \(\sqrt{x-1}\), so (x-1>0) is required. Hence the domain is (x>1).
Exam Tip
हर में \(\sqrt{x-1}\) है, इसलिए (x-1>0) होना चाहिए। अतः प्रांत (x>1) है।
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