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

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

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

A. \(\frac{2}{x^2-1}\)

Explanation

Simple Explanation

(\frac{1}{x-1}-\frac{1}{x+1}=\frac{x+1-(x-1)}{x-2-1}=\frac{2}{x-2-1})। समान हर बनाते समय अंश के चिन्ह देखें। / (\frac{1}{x-1}-\frac{1}{x+1}=\frac{x+1-(x-1)}{x-2-1}=\frac{2}{x-2-1}). Watch numerator signs while taking a common denominator.

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FAQs

Mathematics Answer, Explanation and Revision Hints

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

Correct Answer: A. \(\frac{2}{x^2-1}\). Explanation: (\frac{1}{x-1}-\frac{1}{x+1}=\frac{x+1-(x-1)}{x-2-1}=\frac{2}{x-2-1})। समान हर बनाते समय अंश के चिन्ह देखें। / (\frac{1}{x-1}-\frac{1}{x+1}=\frac{x+1-(x-1)}{x-2-1}=\frac{2}{x-2-1}). Watch numerator signs while taking a common denominator.