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Class 11 Mathematics Relations and Functions Algebra of real functionsMedium

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If (f(x)=\sqrt{x+2}) and (g(x)=\frac{1}{x-1}), what is the domain of ((f+g)(x))?

Answer and explanation

Correct answer: ([-2,\infty)-{1})

For (\sqrt{x+2}), (x\geq -2), and for (\frac{1}{x-1}), (x\neq 1). Their intersection gives ([-2,\infty)-{1}).

Related tags

Relations-Functions Algebra-Real-Functions Domain-Intersection Algebra Of Real Functions Relations And Functions Mathematics Class 11 Mcq

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