Question

If G -1(y) is the inverse of G(x), which statements must be true?

Check all that apply.
A. G(G -1(x)) = x
B. G -1(G(x)) = x
C. The range of G -1(y) is the range of G(x).
D. The range of G -1(y) is the domain of G(x).
E. The domain of G -1(y) is the range of G(x).
F. The domain of G -1(y) is the domain of G(x).

Answer 1

A, B, D, E.

C and F could be true, but only if \(G(x)=G^{-1}(y)\).

Answer 2

Thank you so much!