SOLUTION: Use interval notation to state the domain of the function: f(x)= 1/(X+5)(SQUARE ROOT OF X^2 -4)

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Question 483080: Use interval notation to state the domain of the function:
f(x)= 1/(X+5)(SQUARE ROOT OF X^2 -4)

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Use interval notation to state the domain of the function:
f(x)= 1/(X+5)(SQUARE ROOT OF X^2 -4)
**
f(x)=1/(x+5)√(x^2-4)
Restrictions:
x+5=0
x≠-5
..
x^2-4≥0
(x+2)(x-2)≥
x+2=0
x≠-2
..
x-2=0
x≠2
..
Domain: (-∞,-5) U (-5, -2) U (-2, 2) U (2, ∞)