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If \(f(x)=\sqrt{x-4}\) and \(g(x)=\frac{1}{x-6}\), what is the domain of \(\left(\frac{f}{g}\right)(x)\)?यदि \(f(x)=\sqrt{x-4}\) और \(g(x)=\frac{1}{x-6}\) हैं, तो \(\left(\frac{f}{g}\right)(x)\) का प्रांत क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(x\ge4,\ x\ne6\)\(x\ge4,\ x\ne6\)
For (f), \(x\ge4\), and for (g), (x\ne6). In \(\frac{f}{g}\), (g(x)\ne0) is also needed, but \(\frac{1}{x-6}\) is never (0).(f) के लिए \(x\ge4\) और (g) के लिए (x\ne6)। \(\frac{f}{g}\) में (g(x)\ne0) भी चाहिए, पर \(\frac{1}{x-6}\) कभी (0) नहीं होता।
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