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Class 11 Mathematics Relations and Functions Algebra of real functionsExpert

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If (f(x)=\frac{1}{x+3}) and (g(x)=\frac{1}{x-4}), what is the domain of ((f-g)(x))?

Answer and explanation

Correct answer: (\mathbb{R}\setminus{-3,4})

For subtraction, both functions must be defined, so (x=-3) and (x=4) are excluded. Always remove values making any denominator zero.

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

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