यदि (f(x)=x-2-1) और (g(x)=\sqrt{x-2}) हैं, तो ((f+g)(x)) का वास्तविक प्रांत क्या होगा?
If (f(x)=x-2-1) and (g(x)=\sqrt{x-2}), what is the real domain of ((f+g)(x))?
Explanation opens after your attempt
Correct Answer
A. \(x\ge 2\)
Concept
The domain of a sum is the intersection of both domains, so \(x\ge 2\). In exams, keep the radicand of a square root non-negative.
Why this answer is correct
The correct answer is A. \(x\ge 2\). The domain of a sum is the intersection of both domains, so \(x\ge 2\). In exams, keep the radicand of a square root non-negative.
Exam Tip
योग का प्रांत दोनों प्रांतों का प्रतिच्छेद होता है, इसलिए \(x\ge 2\)। परीक्षा में वर्गमूल के अंदर की राशि को (0) या अधिक रखें।
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