Question

Sejam f: R–R tal que f(x)=x²-2x e g: R–R tal que g(x)=x+1
Determine:
f(g(f(4)))

Answer 1

Boa noite 

f(g(f(4)))

Calculando f(4):
f(x) = x² -2x
f(4) = 4² -2.4
f(4) = 16 -8 = 8

f(g(8))

Calculando g(8):
g(x) = x+1
g(8) = 8+1 = 9

f(9)

Calculando f(9)

f(9) = 9² -2.9
f(9) = 81 - 18 = 63

$\boxed{\boxed{f(g(f(4))) = 63}}$