SOLUTION: Over the set of real numbers, what is the domain of the composite function G(F(x))? F(x) = 3 - x, G(y) = √y G(F(x)) = √3-x possible awnsers are: A. x > 3

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Question 144971: Over the set of real numbers, what is the domain of the composite function G(F(x))?
F(x) = 3 - x, G(y) = √y
G(F(x)) = √3-x
possible awnsers are:
A. x > 3
B. x 3
C. x 3
D. All real numbers


Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!
The domain of F is all reals because there are no real values of x that would make F undefined. G, on the other hand, requires that . Saying G(F(x)) is the same as saying , so the question becomes 'What values of x make y less than 0?'





So anytime , and G would be undefined. Therefore the domain of G(F(x)) is . In interval notation: (,]
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