यदि (f(x)=\sqrt{x-2-1}) और (g(x)=\sqrt{4-x-2}) हैं, तो ((f+g)(x)) का प्रांत क्या है?
If (f(x)=\sqrt{x-2-1}) and (g(x)=\sqrt{4-x-2}), what is the domain of ((f+g)(x))?
Explanation opens after your attempt
Correct Answer
A. \([-2,-1]\cup[1,2]\)
Concept
First \(x^2-1\ge0\) gives \(|x|\ge1\), and \(4-x^2\ge0\) gives \(|x|\le2\). The intersection is \([-2,-1]\cup[1,2]\).
Why this answer is correct
The correct answer is A. \([-2,-1]\cup[1,2]\). First \(x^2-1\ge0\) gives \(|x|\ge1\), and \(4-x^2\ge0\) gives \(|x|\le2\). The intersection is \([-2,-1]\cup[1,2]\).
Exam Tip
पहले \(x^2-1\ge0\) से \(|x|\ge1\), और \(4-x^2\ge0\) से \(|x|\le2\)। प्रतिच्छेद \([-2,-1]\cup[1,2]\) है।
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