यदि (f(x)=\sqrt{x}) और (g(x)=\frac{1}{\sqrt{4-x}}) हैं, तो ((fg)(x)) का प्रांत क्या होगा?
If (f(x)=\sqrt{x}) and (g(x)=\frac{1}{\sqrt{4-x}}), what is the domain of ((fg)(x))?
Explanation opens after your attempt
A. \(0\le x<4\)
Concept
For \(\sqrt{x}\), \(x\ge0\), and for denominator \(\sqrt{4-x}\), (4-x>0). Hence \(0\le x<4\).
Why this answer is correct
The correct answer is A. \(0\le x<4\). For \(\sqrt{x}\), \(x\ge0\), and for denominator \(\sqrt{4-x}\), (4-x>0). Hence \(0\le x<4\).
Exam Tip
\(\sqrt{x}\) के लिए \(x\ge0\) और हर में \(\sqrt{4-x}\) के लिए (4-x>0)। इसलिए \(0\le x<4\)।
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