यदि (f(x)=\frac{1}{\sqrt{x}}) और (g(x)=\sqrt{x-1}) हैं, तो (fg) का डोमेन क्या है?
If (f(x)=\frac{1}{\sqrt{x}}) and (g(x)=\sqrt{x-1}), what is the domain of (fg)?
Explanation opens after your attempt
Correct Answer
A. \( [1,\infty\) )
Concept
For (f), (x>0), and for (g), \(x\ge1\). Their intersection is \( [1,\infty\) ). For product also, take the common domain of both functions.
Why this answer is correct
The correct answer is A. \( [1,\infty\) ). For (f), (x>0), and for (g), \(x\ge1\). Their intersection is \( [1,\infty\) ). For product also, take the common domain of both functions.
Exam Tip
(f) के लिए (x>0) और (g) के लिए \(x\ge1\) चाहिए, अतः प्रतिच्छेद \( [1,\infty\) ) है। गुणन में भी दोनों फलनों का साझा डोमेन लें।
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