Respuesta :

mhanifa

Answer:

  • 16

Step-by-step explanation:

Given:

  • f(x) =3x - 8 and g(x) = x² + 4
  • f(g(- 2)) = ?

First find g(- 2):

  • g(- 2) = (-2)² + 4 = 4 + 4 = 8

Find f(8):

  • f(8) = 3*8 - 8 = 24 - 8 = 16

g(-2):-

[tex]\\ \sf\longmapsto (-2)^2+4[/tex]

[tex]\\ \sf\longmapsto 4+4[/tex]

[tex]\\ \sf\longmapsto 8[/tex]

Now

[tex]\\ \sf\longmapsto f(x)=3x-8[/tex]

[tex]\\ \sf\longmapsto f(g(-2))=f(8)[/tex]

[tex]\\ \sf\longmapsto 3(8)-8[/tex]

[tex]\\ \sf\longmapsto 24-8[/tex]

[tex]\\ \sf\longmapsto 16[/tex]