Question

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 getf(x)b.) Maggie's claim is correct because when g(x) is substituted into every occurrence of xO in f(x). f(g(x)) = x, and when f(x) is substituted into every occurrence of x in g(x).g(f(x)) = xc.) Maggie's claim is incorrect because when g(x) is substituted into every occurrence ofx in f(x),; therefore, g(x) is not the inverse of f(x), f(g(x))=x-8; therefore, g(x) is not theinverse of f(x)d.) Maggie's claim is incorrect because when g(x) is substituted into every occurrence ofx in f(x). f(g(x)) = x; therefore, g(x) is not the inverse of f(x).

Answer 1

For Magie to support her claim that g(x) is the inverse function of f(x),

This must be her analysis,

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