यदि (f(x)=\sqrt{x-2}) और (g(x)=\sqrt{5-x}) हैं तो ((f+g)(x)) का प्रांत क्या है?
If (f(x)=\sqrt{x-2}) and (g(x)=\sqrt{5-x}) then what is the domain of ((f+g)(x))?
Explanation opens after your attempt
Correct Answer
A. \([2,5])
Concept
For square roots we need \(x-2\ge 0\) and \(5-x\ge 0\) so \(2\le x\le 5\). In such questions apply both conditions together.
Why this answer is correct
The correct answer is A. \([2,5]). For square roots we need \(x-2\ge 0\) and \(5-x\ge 0\) so \(2\le x\le 5\). In such questions apply both conditions together.
Exam Tip
वर्गमूल के लिए \(x-2\ge 0\) और \(5-x\ge 0\) चाहिए इसलिए \(2\le x\le 5\)। ऐसे प्रश्नों में दोनों शर्तें साथ लगाएँ।
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