हर \(g(x)=x+2\) है, इसलिए \(x\ne -2\)। अंश हमेशा परिभाषित है इसलिए केवल हर का प्रतिबंध लगेगा। / The denominator is \(g(x)=x+2\), so \(x\ne -2\). The numerator is always defined, so only the denominator restriction applies.
Mathematics Answer, Explanation and Revision Hints
यदि \(f(x)=x^2+4x+5\) और \(g(x)=x+2\) हैं तो \(\left(\frac{f}{g}\right)(x)\) का प्रांत क्या है? / If \(f(x)=x^2+4x+5\) and \(g(x)=x+2\) then what is the domain of \(\left(\frac{f}{g}\right)(x)\)?
Correct Answer: A. \(\mathbb{R}-{-2})\). Explanation: हर \(g(x)=x+2\) है, इसलिए \(x\ne -2\)। अंश हमेशा परिभाषित है इसलिए केवल हर का प्रतिबंध लगेगा। / The denominator is \(g(x)=x+2\), so \(x\ne -2\). The numerator is always defined, so only the denominator restriction applies.
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