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Let D be the domain of the real valued

Question:

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

Solution:

Given, f(x) = √(25 – x2)

The function is defined if 25 – x2 ≥ 0

So, x2 ≤ 25

-5 ≤ x ≤ 5

Therefore, the domain of the given function is [-5, 5].

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