यदि (f(x)=\sqrt{x+1}) और (g(x)=\sqrt{x-3}) हों, तो ((f-g)(x)) का डोमेन क्या होगा?
If (f(x)=\sqrt{x+1}) and (g(x)=\sqrt{x-3}), what is the domain of ((f-g)(x))?
Explanation opens after your attempt
Correct Answer
A. \([3,\infty\))
Concept
Both square roots must be defined, so \(x\ge -1\) and \(x\ge 3\). The common domain is \([3,\infty\)).
Why this answer is correct
The correct answer is A. \([3,\infty\)). Both square roots must be defined, so \(x\ge -1\) and \(x\ge 3\). The common domain is \([3,\infty\)).
Exam Tip
दोनों वर्गमूल परिभाषित होने चाहिए, इसलिए \(x\ge -1\) और \(x\ge 3\)। साझा डोमेन \([3,\infty\)) है।
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