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If (f(x)=\frac{x}{x+1}) and (g(x)=\frac{1}{x-2}), what is the domain of ((f+g)(x))?यदि (f(x)=\frac{x}{x+1}) और (g(x)=\frac{1}{x-2}) हैं, तो ((f+g)(x)) का डोमेन क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ( \mathbb{R}-{-1,2} )( \mathbb{R}-{-1,2} )
The first function needs (x\neq-1), and the second needs (x\neq2). The domain of the sum is the common part of these conditions.पहले फलन में (x\neq-1) और दूसरे में (x\neq2) चाहिए। जोड़ का डोमेन इन दोनों शर्तों का साझा भाग है।
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