यदि (f(x)=\sqrt{x+1}) और (g(x)=\sqrt{x-3}) हैं तो ((f-g)(x)) का प्रांत क्या है?
If (f(x)=\sqrt{x+1}) and (g(x)=\sqrt{x-3}) then what is the domain of ((f-g)(x))?
Explanation opens after your attempt
Correct Answer
A. \([3,\infty))
Concept
For both square roots \(x+1\ge 0\) and \(x-3\ge 0\), hence \(x\ge 3\). Even in subtraction both functions must be defined.
Why this answer is correct
The correct answer is A. \([3,\infty)). For both square roots \(x+1\ge 0\) and \(x-3\ge 0\), hence \(x\ge 3\). Even in subtraction both functions must be defined.
Exam Tip
दोनों वर्गमूलों के लिए \(x+1\ge 0\) और \(x-3\ge 0\), इसलिए \(x\ge 3\)। घटाव में भी दोनों फलन परिभाषित होने चाहिए।
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