The given polynomial functions are
f(x) = x^2 - x + 14
g(x) = - 5x - 8
To find g(f(x)), we would substitute x = x^2 - x + 14 into g(x). Thus, we have
g(f(x)) = - 5(x^2 - x + 14) - 8
g(f(x)) = - 5x^2 + 5x - 70 - 8
g(f(x)) = - 5x^2 + 5x - 78
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