यदि (f(x)=\sqrt{x-2}) और (g(x)=\sqrt{10-2x}) हैं, तो ((f+g)(x)) का प्रांत क्या है?
If (f(x)=\sqrt{x-2}) and (g(x)=\sqrt{10-2x}), what is the domain of ((f+g)(x))?
Explanation opens after your attempt
Correct Answer
A. ([2,5])
Concept
Both square roots require \(x-2\ge 0\) and \(10-2x\ge 0\). Hence the common domain is ([2,5]).
Why this answer is correct
The correct answer is A. ([2,5]). Both square roots require \(x-2\ge 0\) and \(10-2x\ge 0\). Hence the common domain is ([2,5]).
Exam Tip
दोनों वर्गमूलों के लिए \(x-2\ge 0\) और \(10-2x\ge 0\) चाहिए। इसलिए संयुक्त प्रांत ([2,5]) है।
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