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Let D be the domain of the real valued function f defined by f(x) = 25-x2. Then, write D

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Question

Let D be the domain of the real valued function f defined by f(x) = `sqrt(25 - x^2)`. Then, write D

Sum
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Solution

Given real valued function f(x), such that f(x) = `sqrt(25 - x^2)`

Since  f(x) is reaal valued

We must have

25 – x2 ≥ 0

⇒ x2 ≤ 25

⇒ – 5 ≤ x ≤ 5

⇒ The Domain D = [–5, 5]

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Chapter 1: Relations And Functions - Exercise [Page 11]

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NCERT Exemplar Mathematics Exemplar [English] Class 12
Chapter 1 Relations And Functions
Exercise | Q 2 | Page 11

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