SOLUTION: What is the domain of sqrt(8-sqrt(8-x))

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Question 159415: What is the domain of
sqrt(8-sqrt(8-x))
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The domain is the values of x where the function makes sense.
For square root functions to make sense, the argument must be greater or equal to 0.
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f%28x%29=sqrt%288-sqrt%288-x%29%29
First off,
8-x%3E=0
x%3C=8
The upper bound for x is 8.
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The second argument must also be greater than or equal to 0.
8-sqrt%288-x%29%3E=0
sqrt%288-x%29%3C=8
%288-x%29%3C=64
-x%3C=56
x%3E=-56
The domain for x is [56,8]