यदि (f(x)=\frac{1}{\sqrt{x-1}}) और (g(x)=\sqrt{4-x}) हैं, तो (f+g) का डोमेन क्या होगा?
If (f(x)=\frac{1}{\sqrt{x-1}}) and (g(x)=\sqrt{4-x}), what is the domain of (f+g)?
Explanation opens after your attempt
Correct Answer
A. ( (1,4] )
Concept
For \(\frac{1}{\sqrt{x-1}}\), (x>1), and for \(\sqrt{4-x}\), \(x\le4\). Thus the common domain is ( (1,4] ).
Why this answer is correct
The correct answer is A. ( (1,4] ). For \(\frac{1}{\sqrt{x-1}}\), (x>1), and for \(\sqrt{4-x}\), \(x\le4\). Thus the common domain is ( (1,4] ).
Exam Tip
\(\frac{1}{\sqrt{x-1}}\) के लिए (x>1) और \(\sqrt{4-x}\) के लिए \(x\le4\) चाहिए। अतः साझा डोमेन ( (1,4] ) है।
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