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Class 11 Mathematics Relations and Functions Algebra of real functionsHard

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If (f(x)=x+1) and (g(x)=x^2-4), what is the domain of (\frac{f}{g})?

Answer and explanation

Correct answer: ( \mathbb{R}-{-2,2} )

We need (g(x)\neq0), and (x^2-4=0) gives (x=\pm2). In quotient questions, always exclude zeros of the denominator.

Related tags

Relations-Functions Quotient-Domain Zero-Denominator Algebra Of Real Functions Relations And Functions Mathematics Class 11 Mcq

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