Question

dadas as funçoes f(x)= x+3 e g(x)= 2x ao quadrado-3, determine:

a) f(g(x))

b) g(f(x))

c) f(f(x))

Answer 1

f(x)=x+3
g(x)=2x²-3

a)f(g(x))
f(g(x))=
(2x²-3)+3=
2x²-3+3=
2x²

b)g(f(x))
g(f(x))=
(x+3)²-3=
(x+3)(x+3)-3=
x²+3x+3x+9-3=
x²+6x+6

c)f(f(x))
f(f(x)=
(x+3)+3=
x+3+3=
x+6