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If \(f(x)=x+2\) and \(g(x)=x^2-4\) then what is the simplified form of \(\left(\frac{g}{f}\right)(x)\)?यदि \(f(x)=x+2\) और \(g(x)=x^2-4\) हैं तो \(\left(\frac{g}{f}\right)(x)\) का सरल रूप क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (x-2), (x\ne -2)(x-2), (x\ne -2)
\(\frac{g}{f}=\frac{x^2-4}{x+2}=\frac{(x-2)(x+2)}{x+2}=x-2\), but (x\ne -2). Exclude the zero of the cancelled factor too.\(\frac{g}{f}=\frac{x^2-4}{x+2}=\frac{(x-2)(x+2)}{x+2}=x-2\), पर (x\ne -2)। रद्द किए गए गुणनखंड का शून्य भी हटाएँ।
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