Question

2) (UFSC) Sejam as funções
f(x) = |x - 1| e g(x) = (x² + 4x - 4)
a) Calcule as raízes de f[g(x)] = 0 ?

Answer 1

$f(x)= x - 1 \\ g(x)= x^{2}+4x-4 \\ \\ f_{g(x)} =x^{2}+4x-4-1 \\ \\ x^{2}+4x-5 \\ \\ (x + 5).(x - 1) \\ \\ x = -5 \\ e \\ x = 1$