Respuesta :

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