यदि (f(x)=\sqrt{x-2}) और (g(x)=x-5) हैं, तो \(\frac{f}{g}\) का डोमेन क्या होगा?
If (f(x)=\sqrt{x-2}) and (g(x)=x-5), what is the domain of \(\frac{f}{g}\)?
Explanation opens after your attempt
Correct Answer
A. \( [2,\infty\)-{5} )
Concept
For \(\sqrt{x-2}\), \(x\ge2\), and the denominator needs \(x-5\neq0\). Hence \( [2,\infty\)-{5} ) is correct.
Why this answer is correct
The correct answer is A. \( [2,\infty\)-{5} ). For \(\sqrt{x-2}\), \(x\ge2\), and the denominator needs \(x-5\neq0\). Hence \( [2,\infty\)-{5} ) is correct.
Exam Tip
\(\sqrt{x-2}\) के लिए \(x\ge2\) और हर \(x-5\neq0\) चाहिए। इसलिए \( [2,\infty\)-{5} ) सही है।
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