यदि (f(x)=\frac{1}{\sqrt{x-4}}) और (g(x)=x+1) हैं, तो ((f+g)(x)) का प्रांत क्या है?
If (f(x)=\frac{1}{\sqrt{x-4}}) and (g(x)=x+1), what is the domain of ((f+g)(x))?
Explanation opens after your attempt
B. (\(4,\infty\))
Concept
The denominator contains \(\sqrt{x-4}\), so (x-4>0) is required. Thus the domain is (\(4,\infty\)).
Why this answer is correct
The correct answer is B. (\(4,\infty\)). The denominator contains \(\sqrt{x-4}\), so (x-4>0) is required. Thus the domain is (\(4,\infty\)).
Exam Tip
हर में \(\sqrt{x-4}\) है, इसलिए (x-4>0) चाहिए। अतः प्रांत (\(4,\infty\)) है।
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