यदि (f(x)=\sqrt{x}) और (g(x)=\sqrt{1-x}) हों, तो ((f+g)(x)) का प्रांत क्या है?
If (f(x)=\sqrt{x}) and (g(x)=\sqrt{1-x}), what is the domain of ((f+g)(x))?
Explanation opens after your attempt
Correct Answer
A. ( [0,1] )
Concept
The first root gives \(x\ge 0\), and the second gives \(x\le 1\). Their intersection is ( [0,1] ).
Why this answer is correct
The correct answer is A. ( [0,1] ). The first root gives \(x\ge 0\), and the second gives \(x\le 1\). Their intersection is ( [0,1] ).
Exam Tip
पहले मूल से \(x\ge 0\) और दूसरे से \(x\le 1\) मिलता है। दोनों शर्तों का प्रतिच्छेद ( [0,1] ) है।
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