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If \(f(x)=x+1\) and \(g(x)=x-3\), what will be the domain of \(\left(\frac{f}{g}\right)(x)\)?यदि \(f(x)=x+1\) और \(g(x)=x-3\), तो \(\left(\frac{f}{g}\right)(x)\) का डोमेन क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(\mathbb{R}-{3}\)\(\mathbb{R}-{3}\)
In division, the denominator \(g(x)=x-3\) must not be zero, so \(x\neq3\). Hence the domain is \(\mathbb{R}-{3}\).भाग में हर \(g(x)=x-3\) शून्य नहीं होना चाहिए, इसलिए \(x\neq3\)। अतः डोमेन \(\mathbb{R}-{3}\) है।
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