यदि (f(x)=\sqrt{x-4}) और (g(x)=\sqrt{x+1}) हों, तो ((fg)(x)) का domain क्या होगा?
If (f(x)=\sqrt{x-4}) and (g(x)=\sqrt{x+1}), what is the domain of ((fg)(x))?
Explanation opens after your attempt
Correct Answer
A. \([4,\infty\))
Concept
For \(\sqrt{x-4}\), \(x\geq 4\), and for \(\sqrt{x+1}\), \(x\geq -1\). The intersection is \([4,\infty\)).
Why this answer is correct
The correct answer is A. \([4,\infty\)). For \(\sqrt{x-4}\), \(x\geq 4\), and for \(\sqrt{x+1}\), \(x\geq -1\). The intersection is \([4,\infty\)).
Exam Tip
\(\sqrt{x-4}\) के लिए \(x\geq 4\) और \(\sqrt{x+1}\) के लिए \(x\geq -1\)। intersection \([4,\infty\)) है।
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