Calculating g(x) from f(x)

Consider the function defined by the formula:

$$ f(x) = 3x^2 - 5x + 2 $$

For an integer value of $x$, the function $f(x)$ is evaluated. Next, the relationship between $f(x)$ and its corresponding value of $g(x)$ is defined as follows:

$$ g(x) =\frac{f(x) - 4}{2} $$

What is the value of $g(2)$?