यदि (f(x)=\sqrt{x}) और (g(x)=x-2) हैं, तो \(\frac{f}{g}\) का प्रांत क्या है?
If (f(x)=\sqrt{x}) and (g(x)=x-2), what is the domain of \(\frac{f}{g}\)?
Explanation opens after your attempt
Correct Answer
A. \([0,\infty\)\setminus{2})
Concept
\(\sqrt{x}\) needs \(x\ge 0\), and the denominator needs \(x-2\ne 0\). In a quotient, both square-root and denominator restrictions apply.
Why this answer is correct
The correct answer is A. \([0,\infty\)\setminus{2}). \(\sqrt{x}\) needs \(x\ge 0\), and the denominator needs \(x-2\ne 0\). In a quotient, both square-root and denominator restrictions apply.
Exam Tip
\(\sqrt{x}\) के लिए \(x\ge 0\) और हर \(x-2\ne 0\) चाहिए। भागफल में वर्गमूल और हर दोनों प्रतिबंध लागू होते हैं।
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