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Find the domain of the function $$f(x) = \frac{1}{x+8} + \frac{1}{\sqrt{x - 8}} + \frac{1}{\sqrt{8 - x}}.$$ Express your answer as a union of intervals.

 Jan 20, 2024
 #1
avatar+129850 
+1

There is  no domain

 

The  first function  has a domain of  (-8, inf)

The second function  has a domain of (8, inf)

The third function has a domain of ( -inf, 8)

 

No real  number satisifies  all three intervals

 

cool cool cool

 Jan 20, 2024

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