Answer:
the value of G^-1(G(x)) is x
Step-by-step explanation:
We define G^-1(x) as the inverse of G(x), when we talk about functions inverse does not work like with the numbers, this means that G^-1(x) is not equal to 1/G(x).
Inverse means that if:
G(x) = y
then:
G^-1(y) = x
then if we have:
G^-1(G(x)) = G^-1(y) = x
so when we evaluate a given function in its inverse, the result is the input of the function.
And is the same in the case:
G(G^-1(x)) = x
