Question

Dado F(X) = X² - 4 e G(X) = 2X +1, Calcule F(G(X) E G(F(X))

Answer 1

$f(g(x)) = {(2x - 1)}^{2} - 4 = \\ = 4 {x}^{2} - 4x + 1 - 4 = \\ = 4 {x}^{2} + 4x - 3 \\ \\ g(f(x)) = 2 ( {x}^{2} - 1) - 1 \\ = 4 {x}^{2} - 2 - 1 = \\ = 4 {x}^{2} - 3$