Question

f(x)= -x+2 g(x)=3.x-2 e h(x)=-5.x

a)f(g(x))
b)g(f(x))
c)h(f(x))
d)g(h(x))

Answer 1

a)

$f(g(x)) = - (3x - 2) + 2 = - 3x + 2 + 2 = - 3x + 4$

b)

$g(f(x))) = 3( - x + 2) - 2 = - 3x + 6 - 2 = - 3x + 4$

c)

$h(f(x)) = - 5( - x + 2) = 5x - 10$

d)

$g(h(x)) = 3( - 5x) - 2 = - 15x - 2$

Answer 2

Vamos encontrar as compostas.

a) f(g(x)) = -(3x-2) +2
fog= -3x+2+2
fog= -3x +4

=====

b) gof = 3(-x+2)-2
gof = -3x +6 -2
gof = -3x+4

====

c) hof = -5.(-x+2)
hof = 5x -10

======
d) goh = 3(-5x) -2
goh = -15x-2