SOLUTION: Please help find the domain of the composite function f o g f(x) = √2-x - 3; g(x)|2X-1| =

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Question 617608: Please help find the domain of the composite function f o g
f(x) = √2-x - 3; g(x)|2X-1| =

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Please help find the domain of the composite function f o g
f(x) = √2-x - 3; g(x)|2X-1| =
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fog = f[|2x-1|] = sqrt[2-|2x-1|] - 3
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2 - |2x-1| must be >= 0
|2x-1 <= 2
-2 <= 2x-1 <= 2
-1 <= 2x <= 3
-1/2 <= x <= 3/2
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That is the domain.
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Cheers,
Stan H.

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