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If \(f(x)=\frac{x}{x-3}\) and \(g(x)=\frac{x-3}{x}\), what is the domain of \(\left(\frac{f}{g}\right)(x)\)?यदि \(f(x)=\frac{x}{x-3}\) और \(g(x)=\frac{x-3}{x}\) हों, तो \(\left(\frac{f}{g}\right)(x)\) का प्रांत क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \( \mathbb{R}\setminus{0,3} \)\( \mathbb{R}\setminus{0,3} \)
(f) needs (x\ne 3), (g) needs (x\ne 0), and divisor (g(x)\ne 0) gives (x\ne 3). Together, (x\ne 0,3).(f) के लिए (x\ne 3), (g) के लिए (x\ne 0), और भाजक (g(x)\ne 0) से (x\ne 3)। सभी प्रतिबंध मिलाकर (x\ne 0,3) मिलते हैं।
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