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Let f(x) = -20x2 + 14x + 12 and g(x) = 5x - 6. Find f/g and state its domain.

Respuesta :

mpanderla95
F(X) = -20x^2 + 14x + 12
G(X) = 5x - 6

F(g(X)) = F(5x - 6) = -20(5x - 6)^2 + 14(5x - 6) + 12.
-20(5x-6)(5x-6) + 70x - 84) + 12
-20(25x^2 - 60x + 36) + 70x - 84 + 12

- 500x^2 + 1200x - 720 + 70x - 84 + 12

-500x^2 + 1270x - 720 - 72

-500x^2 + 1270x - 792.

The domain, I believe is all real numbers. As the graph eventually touches all values of X.

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