Question

6) Considere as funções f(x) = 2x - 1 e g(x) = x 2 + 1. Calcule f (g(x)) e g(f (x)).

Answer 1

$f(x)=2x-1$

$g(x)=x^{2} +1$

$f(g(x))=f(x^{2} +1)=2.(x^{2} +1)-1=2x^{2} +2-1=2x^{2} +1$

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