यदि (f(x)=\sqrt{x+3}) और (g(x)=\sqrt{x-1}) हैं, तो \(\frac{g}{f}\) का डोमेन क्या होगा?
If (f(x)=\sqrt{x+3}) and (g(x)=\sqrt{x-1}), what is the domain of \(\frac{g}{f}\)?
Explanation opens after your attempt
Correct Answer
A. \( [1,\infty\) )
Concept
For (g), \(x\ge1\) is needed, and then (f(x)\neq0) is automatically true. Hence the domain is \( [1,\infty\) ).
Why this answer is correct
The correct answer is A. \( [1,\infty\) ). For (g), \(x\ge1\) is needed, and then (f(x)\neq0) is automatically true. Hence the domain is \( [1,\infty\) ).
Exam Tip
(g) के लिए \(x\ge1\) चाहिए, और तब (f(x)\neq0) अपने आप सत्य है। इसलिए डोमेन \( [1,\infty\) ) है।
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