Question

Hola! Alguien que me ayude con composición de funciones porfavor
sea:
f(x)=3x²–2
g(x)=x²–3x+4
h(x)=x+4

1- foh (–2)
2- hof (–3)
3- hof ( x )​

Answer 1

1.

f o g (-2) = f ( g(-2)) = f(14) = 586

Paso a paso:

g(-2) = (-2)² - 3(-2) + 4 = 4 + 6 + 4 = 14

f(14) = 3*(14)² - 2 = 3(196) - 2 = 586

2.

h o f (-3) = h ( f(-3)) = h(25) = 29

Paso a paso:

f(-3) = 3*(-3)² - 2 = 3(9) - 2 = 25

h(25) = 25 + 4 = 29

3.

h o f (x) = h ( f(x)) = h(3x² - 2) = 3x² + 2

Paso a paso:

f(x) = 3x² - 2

h(3x² - 2) = (3x² - 2) + 4 = 3x² + 2