so this is the problem: (8-(x 2 -8 2 )) and the question is what is the domain?

Question

so this is the problem: (8-(x2-82)) and the question is what is the domain? i was thinking [-11.31,-8] and [8,11.31] is that right? and if not can you please help me!!!??? so this is the problem: (8-(x2-82)) and the question is what is the domain? i was thinking [-11.31,-8] and [8,11.31] is that right? and if not can you please help me!!!???

Explanation / Answer

Let me work it out on here and see if I get your answer. The domainwill be restricted twice because we are dealing with two radicals.Lets start with the inner radical: sqrt(x^2-64) this must be >=0, which yields a domain of x=8. Now we have to restrict his domain to the second radical: sqrt(8-sqrt(x^2-64)) this must also be >=0 I ended up with the same answer as you.

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