Let the function $f(x)$ be defined as follows:
$$ f(x) = 2x^2 - 3x + 1 $$
A new function, $g(x)$, is defined as:
$$ g(x) = f(x + 2) - f(x) $$
What is the value of $g(1)$? Compute the answer and enter it as a grid-in.