Question

If G^-1(y) is the inverse of G(x), which statement must be true? Check all that apply.

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

Answer 1

Hmmmmmmm

Answer 2

A B D AND E?

Answer 3

Couldn't be A. A function and its inverse do not have the same domain.

Answer 4

B, C, E, F

Answer 5

let's take an arbitrary one-to-one function f(x), so it will have an inverse function. it sends all x we input, to y.

Answer 6

then the inverse function sends all y to x, by definition.