Question

dadas as funções f(x)=x²-1 e g(x)=2x calcule
A)f[g(x)] B)g[f(x)]

Answer 1

A)


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

B)

$g(f(x)) = 2 \times (f(x)) = 2 \times ( {x}^{2} - 1) = \\ = 2 {x}^{2} - 2$