Question

Dadas as funções reais f(x)=x-1 e g(x)=2x-1 o valor de f(g(x))-g(f(x)) e
A)-2
B)2
C)0
D)-1
E)1

Answer 1

Bom dia

f(x) = x - 1
g(x) = 2x - 1

f(g(x)) = g(x) - 1 = 2x - 1 - 1 = 2x - 2
g(f(x)) = 2f(x) - 1 = 2x - 2 - 1 = 2x - 3

f(g(x)) - g(f(x)) = 2x - 2 - 2x + 3 = -2 + 3 = 1(E)