SOLUTION: f(x)=√(25-x^2) Find the domain.

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Question 683934: f(x)=√(25-x^2)
Find the domain.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
25-x^2 >= 0

25 >= x^2

x^2 <= 25

sqrt(x^2) <= sqrt(25)

|x| <= 5

-5 <= x <= 5

So the domain is -5 <= x <= 5

Domain in set-builder notation:

Domain in interval notation: