Question

Sejam f(x) x² - 2x e g(x) x + 1 determine: A) f(g(1)) / B) g(f(2)) / C) f(g(f(4))) / D) f(f(-1))

Answer 1

a) primeiro g(1)
g(1)=x+1
g(1)=1+1
g(1)=2

f(2)=2^2-2.2
f(2)=4-4
f(2)=0

B)
f(2)=0
g(0)=0+1
g(0)=1

C)
f(4)=4^2-2.4
f(4)=16-8
f(4)=8

g(8)=8+1
g(8)=9

f(9)=9^2-2.9
f(9)=81-18
f(9)=63

D)
f(-1)=-1^2-2.(-1)
f(-1)=1+2
f(-1)=3

f(3)=3^2-2.3
f(3)=9-6
f(3)=3