Question

Dadas as funções f(x)= 2x +12, g(x)=-2x+5, h(x-3)=3x+1 e p(3x+7)= -4x+11, calcule:

a) f(3)
b)f(-5)
c)g(10)
d)h(8)
e)f(2)
f)(-1)+g(2)
g)g(4)+h(-1)
h)g(3)+p(-5)

Answer 1

a) f(3) = 2.3 + 12 = 6 + 12 = 18
b) f(-5) = 2.(-5) + 12 = -10 + 12 = 2
c) g(10) = -2.(10) + 5 = -20 + 5 = -15
d) h(8-3) = h(5) = 3.(5) + 1 = 15 + 1 = 16
e) f(2) = 2.2 + 12 = 4 + 12 = 16
f) (-1) + g(2) = (-1) + (-2).(2) + 5 = -1 - 4 + 5 = 0
g) g(4) + h(-1) = g(4) + h(-1-3) = g(4) + h(-4) = -2.4+5 + 3.(-4) +1 = -8+5 - 12+1 = -3 - 11 = -14
h) g(3) + p(-5) = g(3) + p(3.(-5)+7) = g(3) + p(-15+7) = g(3) + p(-8) = -2.3+5 - 4.(-8)+11 = -6+5 + 32+11 = -1+43 = 42