9514 1404 393
Answer:
(d) ∛27 and 3³
Explanation:
If f(x) and g(x) are inverse functions, then f(g(x)) = g(f(x)) = x. Here, it looks like we're to assume that the functions are of the form f(x) = root(x) or f(x) = x^power.
a) these expressions evaluate to 25 and -25, so are additive inverses. We don't believe that is the intention of the question.
b) f(x) = √x; g(x) = x². f(g(121)) = √(121²) ≠ √121
c) f(x) = -∛(x); g(x) = (-x)³. f(g(64)) = -∛((-64)³) ≠ -∛64
d) f(x) = ∛x; g(x) = x³. f(g(3)) = ∛(3³) = ∛27 . . . . . . these are inverse operations