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If (f(x)=\frac{x}{x+2}) and (g(x)=\frac{2}{x}), what is the domain of ((f+g)(x))?यदि (f(x)=\frac{x}{x+2}) और (g(x)=\frac{2}{x}) हों, तो ((f+g)(x)) का प्रांत क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ( \mathbb{R}\setminus{-2,0} )( \mathbb{R}\setminus{-2,0} )
The first denominator gives (x\ne -2), and the second gives (x\ne 0). The domain of the sum keeps both restrictions.पहले हर से (x\ne -2) और दूसरे हर से (x\ne 0) मिलता है। योग का प्रांत दोनों प्रतिबंधों को साथ रखता है।
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