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anonymous
 one year ago
If G 1(x) is the inverse of G(x), which statements must be true?
Check all that apply.
A. The domain of G 1(x) is the domain of G(x).
B. The domain of G 1(x) is the range of G(x).
C. The range of G 1(x) is the domain of G(x).
D. The range of G 1(x) is the range of G(x).
E. G 1(G(x)) = x
F. G(G 1(x)) = x
anonymous
 one year ago
If G 1(x) is the inverse of G(x), which statements must be true? Check all that apply. A. The domain of G 1(x) is the domain of G(x). B. The domain of G 1(x) is the range of G(x). C. The range of G 1(x) is the domain of G(x). D. The range of G 1(x) is the range of G(x). E. G 1(G(x)) = x F. G(G 1(x)) = x

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0A  FALSE, because with inverses, the domain of one is the range of it's inverse, and viceversa. B  TRUE, using the same logic as in the first statement. C  TRUE, using the same logic as in the first statement. D  FALSE, using the same logic as in the first statement. E  TRUE, if there was a point on G(x) such that (1,2), then there would be a point on G^1(x) such that (2,1). So, if you use x=1, then G(1) would be 2, and G^1(2) would be 1, which is x. F  TRUE, on the same principle as E.
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