यदि (f(x)=\sqrt{x}) और (g(x)=\frac{1}{x-4}) हों, तो ((fg)(x)) का डोमेन क्या है?
If (f(x)=\sqrt{x}) and (g(x)=\frac{1}{x-4}), what is the domain of ((fg)(x))?
Explanation opens after your attempt
Correct Answer
A. \([0,\infty\)-{4})
Concept
\(\sqrt{x}\) needs \(x\ge 0\), and the denominator needs \(x\ne 4\). Take the intersection of both conditions.
Why this answer is correct
The correct answer is A. \([0,\infty\)-{4}). \(\sqrt{x}\) needs \(x\ge 0\), and the denominator needs \(x\ne 4\). Take the intersection of both conditions.
Exam Tip
\(\sqrt{x}\) के लिए \(x\ge 0\) और हर के लिए \(x\ne 4\) चाहिए। दोनों शर्तों का प्रतिच्छेद लें।
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