Question

1) Sendo f(x) = 2x-4 e g(x) =3x+7, determine:
a) F(f(0))
b) G(g(2))
c) F(f(1)) + g(F(2))

Answer 1

f(x) = 2x-4

g(x) =3x+7

a) F(f(0))

f(0)

y = -4

f(-4)

y = 2.(-4)-4

y = -8-4

y = -12

b) G(g(2))

g(2)

y = 3.2+7

y = 6+7

y = 13

g(13)

y = 3.13+7

y = 39 + 7

y = 46

c) F(f(1)) + g(F(2))

para F(f(1))

f(1)

y = 2.1-4

y = 2-4

y = -2

f(-2)

y = 2.(-2)-4

y = -4-4

y = -8

para g(F(2))

f(2)

y = 2.2-4

y = 4-4

y = 0

g(0)

y = 7

F(f(1)) + g(F(2)) = -8+7 = -1