Consider the graphs of f(x) = x^3 and of g(x) = 1/x^3 . Are the composite functions commutative? Why or why
not?
They are commutative because f(g(1)) = g(f(1)).
They are commutative because the composite
functions both equal x. They are not commutative because the domains of
f(x) and g(x) are different.
They are not commutative because the graphs
intersect each other.