यदि (f(x)=\sqrt{x-1}) और (g(x)=\sqrt{3-x}) हैं, तो ((f-g)(x)) का प्रांत कौन सा है?
If (f(x)=\sqrt{x-1}) and (g(x)=\sqrt{3-x}), what is the domain of ((f-g)(x))?
Explanation opens after your attempt
Correct Answer
A. \(1\le x\le3\)
Concept
Both square roots must be defined, so \(x-1\ge0\) and \(3-x\ge0\). Hence \(1\le x\le3\).
Why this answer is correct
The correct answer is A. \(1\le x\le3\). Both square roots must be defined, so \(x-1\ge0\) and \(3-x\ge0\). Hence \(1\le x\le3\).
Exam Tip
दोनों वर्गमूल परिभाषित होने चाहिए, इसलिए \(x-1\ge0\) और \(3-x\ge0\)। अतः \(1\le x\le3\)।
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