Let (f) be a strictly increasing function such that (f(x) > 0) for all values of (x). Let (g) be a strictly decreasing function such that (g(x) > 0) for all values of (x). If (f(g(x)) = x), which statement is true?
a. (f(x)) is the inverse function of (g(x))
b. (g(x)) is the inverse function of (f(x))
c. (f(x)) and (g(x)) are inverses of each other
d. (f(x)) and (g(x)) are not inverses of each other