SOLUTION: what is the domain of the relation y=3/2 arcsin(2x + .5)

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Question 511878: what is the domain of the relation y=3/2 arcsin(2x + .5)
Answer by stanbon(75887) About Me  (Show Source):
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what is the domain of the relation y=(3/2) arcsin(2x + .5)
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Solve:
Since sin is between -1 and 1,
-1 <= 2x+0.5 <= 1
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-3/2 <= 2x <= 1/2
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-3/4 <= x <= 1/4
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Domain: All Real Numbers where -3/4<= x <=1/4
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Cheers,
Stan H.