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

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

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

A. \(\mathbb{R}-{-2,2})

Explanation

Simple Explanation

पहले फलन में \(x\ne -2\) और दूसरे में \(x\ne 2\) है। योग का प्रांत दोनों प्रतिबंधों को हटाकर मिलेगा। / The first function needs \(x\ne -2\) and the second needs \(x\ne 2\). The domain of the sum is obtained by excluding both restrictions.

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FAQs

Mathematics Answer, Explanation and Revision Hints

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

Correct Answer: A. \(\mathbb{R}-{-2,2}). Explanation: पहले फलन में \(x\ne -2\) और दूसरे में \(x\ne 2\) है। योग का प्रांत दोनों प्रतिबंधों को हटाकर मिलेगा। / The first function needs \(x\ne -2\) and the second needs \(x\ne 2\). The domain of the sum is obtained by excluding both restrictions.