Value of h(3) for Given Functions

Consider the function defined by the equation:

$$f(x) = x^3 - 6x^2 + 9x + 1$$

Two other functions are defined as follows:

$$g(x) = f(x - 2)$$

$$h(x) = f(x) - g(x)$$

What is the value of $$h(3)$$?