To find the evaluated value $(f \cdot g)(2)$ for $f(x) = x - 7$ and $g(x) = x^2 + 8x + 4$, begin with the computed product function $(f \cdot g)(x) = x^3 + x^2 - 52x - 28$. Substitute $x = 2$ into this polynomial: $(f \cdot g)(2) = 2^3 + 2^2 - 52(2) - 28$. Simplify the terms to get $8 + 4 - 104 - 28$, which computes to $-120$. Thus, $(f \cdot g)(2) = -120$.