Question

Considere as funções reais f e g tais que: f(x)= x² + 4 e g (x)= 3x -2. Determine:
a) (gof) (0)
b) (fog) (0)
c) (fof) (1)
d) (gog) (1)

Answer 1

a) (gof)(0) = g(f(0)) = 3*(x^2+4)-2 = 3*(0+4)-2 = 10

b) (fog)(0) = f(g(0)) = (3x-2)^2 +4 = (3*0-2)^2+4 = 8

c) (fof)(1) = f(f(1)) = (x^2+4)^2 +4 = (1^2+4)^2 +4 = 29

d) (gog)(1) = g(g(1)) = 3*(3x-2)-2 = 3*(3*1-2)-2 = 1

Espero ter ajudado.