Comparison of Function Values

Let the function $f(x) = 3x^2 - 2x + 1$. Another function $g(x)$ is defined as:

$$g(x) = f(x+1) - f(x-1)$$

Determine the relationship between Quantity A and Quantity B where:

Quantity A: The value of $$g(0)$$

Quantity B: The value of $$g(1)$$