SOLUTION: Which of the following is the domain of the function G(F(x))? F(x) = x - 3, G(y) = 4 G(F(x)) = 4

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Question 690689: Which of the following is the domain of the function G(F(x))?
F(x) = x - 3, G(y) = 4
G(F(x)) = 4
Answer by fcabanski(1391) About Me  (Show Source):
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For the domain of a composite function check for restrictions on the domain of each starting function and for restrictions on the domain of the resulting function.


F(x)=x-3 has all real numbers as the domain. g(y)=4 has all real numbers as the domain. The combined function G(F(x)) = 4 (Substitute x-3 into G(y)=4) for y) has no restrictions.


The domain of the combined function is all real numbers.

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