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Find the Domain of the Real Valued Function of Real Variable: (I) F ( X ) = √ X − 2 - Mathematics

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Question

Find the domain of the real valued function of real variable:

(i) \[f\left( x \right) = \sqrt{x - 2}\]

 

Solution

(i) Given:

\[f\left( x \right) = \sqrt{x - 2}\]
Clearly, f (x) assumes real values if x -2 ≥ 0.
⇒ x ≥ 2
⇒ x ∈ [2, ∞)
Hence, domain (f) = [2, ∞) .
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Chapter 3: Functions - Exercise 3.3 [Page 18]

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RD Sharma Mathematics [English] Class 11
Chapter 3 Functions
Exercise 3.3 | Q 2.1 | Page 18

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