यदि (f(x)=\sqrt{4-x}) और (g(x)=\frac{1}{\sqrt{x}}) हों, तो ((fg)(x)) का प्रांत क्या होगा?
If (f(x)=\sqrt{4-x}) and (g(x)=\frac{1}{\sqrt{x}}), what is the domain of ((fg)(x))?
Explanation opens after your attempt
Correct Answer
A. ( (0,4] )
Concept
\(\sqrt{4-x}\) needs \(x\le 4\), and \(\sqrt{x}\) in the denominator needs (x>0). The intersection is ( (0,4] ).
Why this answer is correct
The correct answer is A. ( (0,4] ). \(\sqrt{4-x}\) needs \(x\le 4\), and \(\sqrt{x}\) in the denominator needs (x>0). The intersection is ( (0,4] ).
Exam Tip
\(\sqrt{4-x}\) के लिए \(x\le 4\), और \(\sqrt{x}\) हर में होने से (x>0)। प्रतिच्छेद ( (0,4] ) है।
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