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Find the domain of the following functions given by f(x) = x3-x+3x2-1 - Mathematics

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Question

Find the domain of the following functions given by f(x) = `(x^3 - x + 3)/(x^2 - 1)`

Sum

Solution

For real value of x2 – 1 ≠ 0

⇒ (x – 1)(x + 1) ≠ 0

⇒ x – 1 ≠ 0 or x + 1 ≠ 0

⇒ x ≠ 1 or x ≠ –1

Therefore, the domain of f = R – {–1, 1}

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Chapter 2: Relations and Functions - Exercise [Page 29]

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NCERT Exemplar Mathematics [English] Class 11
Chapter 2 Relations and Functions
Exercise | Q 17.(iv) | Page 29

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