Sustituimos \( x = 1 \) y \( y = 2 \) en la función \( f(x, y) = 4x - y^{2} + 3 \).
Realizamos la sustitución: \[ f(1, 2) = 4(1) - (2)^{2} + 3 \]
Calculamos cada término: \[ f(1, 2) = 4 - 4 + 3 = 3 \]
\(\boxed{3}\)
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