Comparison of Function Outputs

Let the functions f(x) and g(x) be defined as follows:

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

$$ g(x) = x^2 - 5x + 6 $$

Determine the values of f(2) and g(k) where k is the positive root of the equation g(x) = 0. Compare the quantities:

- Quantity A: f(2)

- Quantity B: g(k)