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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

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  1. anonymous
    • one year ago
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    A - FALSE, because with inverses, the domain of one is the range of it's inverse, and vice-versa. 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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