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If \(f(x)=x+4\) and \(g(x)=x^2-9\), what is the domain of \(\left(\frac{f}{g}\right)(x)\)?यदि \(f(x)=x+4\) और \(g(x)=x^2-9\), तो \(\left(\frac{f}{g}\right)(x)\) का डोमेन क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(\mathbb{R}-{-3,3}\)\(\mathbb{R}-{-3,3}\)
In division, \(g(x)\neq0\) is needed, and \(x^2-9=0\) gives \(x=\pm3\). So the domain is \(\mathbb{R}-{-3,3}\).भाग में \(g(x)\neq0\) चाहिए, और \(x^2-9=0\) से \(x=\pm3\) मिलता है। इसलिए डोमेन \(\mathbb{R}-{-3,3}\) है।
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