यदि (f(x)=\sqrt{5-x}) और (g(x)=\sqrt{x+1}) हैं, तो ((fg)(x)) का प्रांत क्या होगा?
If (f(x)=\sqrt{5-x}) and (g(x)=\sqrt{x+1}), what is the domain of ((fg)(x))?
Explanation opens after your attempt
Correct Answer
A. \(-1\le x\le5\)
Concept
The domain of a product is the intersection of both domains, so \(5-x\ge0\) and \(x+1\ge0\). Hence \(-1\le x\le5\).
Why this answer is correct
The correct answer is A. \(-1\le x\le5\). The domain of a product is the intersection of both domains, so \(5-x\ge0\) and \(x+1\ge0\). Hence \(-1\le x\le5\).
Exam Tip
गुणन का प्रांत दोनों प्रांतों का प्रतिच्छेद है, इसलिए \(5-x\ge0\) और \(x+1\ge0\)। अतः \(-1\le x\le5\)।
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