यदि (f(x)=\sqrt{x}) और (g(x)=\frac{1}{x-4}) हैं, तो (f+g) का डोमेन क्या होगा?
If (f(x)=\sqrt{x}) and (g(x)=\frac{1}{x-4}), what is the domain of (f+g)?
Explanation opens after your attempt
A. \( [0,\infty\)-{4} )
Concept
For \(\sqrt{x}\), \(x\ge0\), and for \(\frac{1}{x-4}\), \(x\neq4\). Hence the domain is \( [0,\infty\)-{4} ).
Why this answer is correct
The correct answer is A. \( [0,\infty\)-{4} ). For \(\sqrt{x}\), \(x\ge0\), and for \(\frac{1}{x-4}\), \(x\neq4\). Hence the domain is \( [0,\infty\)-{4} ).
Exam Tip
\(\sqrt{x}\) के लिए \(x\ge0\) और \(\frac{1}{x-4}\) के लिए \(x\neq4\) चाहिए। इसलिए डोमेन \( [0,\infty\)-{4} ) है।
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