If \(f(x)=x^4\) and \(g(x)=x^2\), what is \(\left(\frac{f}{g}\right)(x)\), where \(x\neq0\)?यदि \(f(x)=x^4\) और \(g(x)=x^2\), तो \(\left(\frac{f}{g}\right)(x)\) क्या है, जहाँ \(x\neq0\)?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(x^2\)\(x^2\)
\(\left(\frac{f}{g}\right)(x)=\frac{x^4}{x^2}=x^2\), where \(x\neq0\). In division with the same base, powers are subtracted.\(\left(\frac{f}{g}\right)(x)=\frac{x^4}{x^2}=x^2\), जहाँ \(x\neq0\)। समान आधार में भाग करते समय घातें घटती हैं।
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