f(x) = cuberoot(x+1) and g(x) = cosx

how do I do this?

Here is the note I took in class:

Let f and g be two functions having the domain D. The product of f and g is that function which assigns to x is a subset of D the number f(x)g(x)

fg

x ----> (fg)(x) = f(x)g(x)

Did I copy this incorrectly? I thought (fg)(x) = f[g(x)] not f(x)g(x)

help! Thanks