Maggie claims that the function g(x)=x/3−4 is the inverse of the function of f(x)=3x+4 . Which statement provides a correct analysis of Maggie's claim?

A

Maggie's claim is correct because if you add 4 to g(x) and then multiply it by 3 you get ƒ(x).

B

Maggie's claim is correct because when g(x) is substituted into every occurrence of x in ƒ(x), ƒ(g(x)) = x, and when ƒ(x) is substituted into every occurrence of x in g(x), g(ƒ(x)) = x.

C

Maggie's claim is incorrect because when g(x) is substituted into every occurrence of x in ƒ(x), f(g(x))=x−8; therefore, g(x) is not the inverse of ƒ(x).

D

Maggie's claim is incorrect because when g(x) is substituted into every occurrence of x in ƒ(x), ƒ(g(x)) = x; therefore, g(x) is not the inverse of ƒ(x).