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Please find the domain and range for the composite function.
You cannot simply find the composite function then find the domain. You must find it using the 2 functions you're given.
![1
g(x)
%|
x2
- 2
f (x) = Vlx| – 2
1
1
1
g(f(x)) =
(/i#I – 2)´ – 2
|x|– 2 – 2
|x| – 4
-
Dom g(f (x)) = {x € dom f | f (x) E dom g}
= {x € (-00, -2] U [2, 0) | Vīx| – 2 € (-∞, –v2) u (-v2, V2) u ( v2, co0)}
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa12f3d2a-f58e-4210-9349-b2715c001625%2F76b5e1d2-6e68-4df8-9c25-6fd7d141b1e6%2Fzd345rm_processed.png&w=3840&q=75)
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Solved in 2 steps
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