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If \(f(x)=\sqrt{x}\) and \(g(x)=x-4\), what is the domain of \(\left(\frac{f}{g}\right)(x)\)?यदि \(f(x)=\sqrt{x}\) और \(g(x)=x-4\) हों, तो \(\left(\frac{f}{g}\right)(x)\) का प्रांत क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \( [0,\infty\)\setminus{4} )\( [0,\infty\)\setminus{4} )
\(\sqrt{x}\) needs \(x\ge 0\) and the denominator needs (x\ne 4). In a quotient, the denominator function must not be zero.\(\sqrt{x}\) के लिए \(x\ge 0\) और हर के लिए (x\ne 4) चाहिए। भागफल में भाजक फलन शून्य नहीं होना चाहिए।
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