यदि (f(x)=\frac{1}{x-2}) और (g(x)=\frac{1}{x+2}) हैं तो ((f-g)(x)) क्या है?

If (f(x)=\frac{1}{x-2}) and (g(x)=\frac{1}{x+2}) then what is ((f-g)(x))?

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

A. \(\frac{4}{x^2-4}), \(x\ne \pm 2\)

Explanation

Simple Explanation

((f-g)(x)=\frac{1}{x-2}-\frac{1}{x+2}=\frac{4}{x-2-4}), जहाँ \(x\ne \pm 2\)। हरों का गुणन करते समय प्रतिबंध रखें। / ((f-g)(x)=\frac{1}{x-2}-\frac{1}{x+2}=\frac{4}{x-2-4}), where \(x\ne \pm 2\). Keep restrictions while multiplying denominators.

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FAQs

Mathematics Answer, Explanation and Revision Hints

यदि (f(x)=\frac{1}{x-2}) और (g(x)=\frac{1}{x+2}) हैं तो ((f-g)(x)) क्या है? / If (f(x)=\frac{1}{x-2}) and (g(x)=\frac{1}{x+2}) then what is ((f-g)(x))?

Correct Answer: A. \(\frac{4}{x^2-4}), \(x\ne \pm 2\). Explanation: ((f-g)(x)=\frac{1}{x-2}-\frac{1}{x+2}=\frac{4}{x-2-4}), जहाँ \(x\ne \pm 2\)। हरों का गुणन करते समय प्रतिबंध रखें। / ((f-g)(x)=\frac{1}{x-2}-\frac{1}{x+2}=\frac{4}{x-2-4}), where \(x\ne \pm 2\). Keep restrictions while multiplying denominators.