यदि \(f(x)=x+2\) और \(g(x)=x^2-4\) हैं तो \(\left(\frac{g}{f}\right)(x)\) का सरल रूप क्या है?

If \(f(x)=x+2\) and \(g(x)=x^2-4\) then what is the simplified form of \(\left(\frac{g}{f}\right)(x)\)?

Author: Muft Shiksha Editorial Team Published: Updated:
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Correct Answer

A. (x-2), \(x\ne -2\)

Explanation

Simple Explanation

\(\frac{g}{f}=\frac{x^2-4}{x+2}=\frac{(x-2)(x+2)}{x+2}=x-2\), पर \(x\ne -2\)। रद्द किए गए गुणनखंड का शून्य भी हटाएँ। / \(\frac{g}{f}=\frac{x^2-4}{x+2}=\frac{(x-2)(x+2)}{x+2}=x-2\), but \(x\ne -2\). Exclude the zero of the cancelled factor too.

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FAQs

Mathematics Answer, Explanation and Revision Hints

यदि \(f(x)=x+2\) और \(g(x)=x^2-4\) हैं तो \(\left(\frac{g}{f}\right)(x)\) का सरल रूप क्या है? / If \(f(x)=x+2\) and \(g(x)=x^2-4\) then what is the simplified form of \(\left(\frac{g}{f}\right)(x)\)?

Correct Answer: A. (x-2), \(x\ne -2\). Explanation: \(\frac{g}{f}=\frac{x^2-4}{x+2}=\frac{(x-2)(x+2)}{x+2}=x-2\), पर \(x\ne -2\)। रद्द किए गए गुणनखंड का शून्य भी हटाएँ। / \(\frac{g}{f}=\frac{x^2-4}{x+2}=\frac{(x-2)(x+2)}{x+2}=x-2\), but \(x\ne -2\). Exclude the zero of the cancelled factor too.