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The domain of the function f: R → R defined by f(x) = x2-3x+2 is ______

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Question

The domain of the function f: R → R defined by f(x) = `sqrt(x^2 - 3x + 2)` is ______

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Solution

Here x2 – 3x + 2 ≥ 0

⇒ (x – 1)(x – 2) ≥ 0

⇒ x ≤ 1 or x ≥ 2

Hence the domain of f = `(– oo, 1] ∪ [2, oo)`

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Chapter 1: Relations And Functions - Solved Examples [Page 10]

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NCERT Exemplar Mathematics Exemplar [English] Class 12
Chapter 1 Relations And Functions
Solved Examples | Q 26 | Page 10

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