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If (f(x)=\frac{1}{\sqrt{x}}) and (g(x)=\sqrt{x-1}), what is the domain of (fg)?यदि (f(x)=\frac{1}{\sqrt{x}}) और (g(x)=\sqrt{x-1}) हैं, तो (fg) का डोमेन क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ( [1,\infty) )( [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.(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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