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].
