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If \(f(x)=x^2+2x\) and \(g(x)=x\), what is the domain of \(\left(\frac{f}{g}\right)(x)\)?यदि \(f(x)=x^2+2x\) और \(g(x)=x\) हों, तो \(\left(\frac{f}{g}\right)(x)\) का domain क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(\mathbb{R}-{0}\)\(\mathbb{R}-{0}\)
In a quotient, the denominator \(g(x)=x\) must not be zero, so \(x\neq 0\). Apply the restriction before simplifying.quotient में denominator \(g(x)=x\) शून्य नहीं होना चाहिए, इसलिए \(x\neq 0\)। simplify करने से पहले restriction लगाएं।
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