Respuesta :

mhanifa

Answer:

  • C. 4x² + 3x/2 - 7

Step-by-step explanation:

Given:

  • f(x) = x/2 - 3
  • g(x) = 4x² + x - 4

Find (f + g)(x):

  • (f + g)(x) =
  • f(x) + g(x) =
  • x/2 - 3 +  4x² + x - 4 =
  • 4x² + 3x/2 - 7

Correct choice is C
  • f(x)=x/2-3=x-6/2

[tex]\\ \tt\longmapsto (f+g)(x)=f(x)+g(x)[/tex]

  • Put values

[tex]\\ \tt\longmapsto \dfrac{x-6}{2}+4x^2+x-4[/tex]

[tex]\\ \tt\longmapsto \dfrac{x-6+8x^2+2x-8}{2}[/tex]

[tex]\\ \tt\longmapsto \dfrac{8x^2+3x-14}{2}[/tex]

[tex]\\ \tt\longmapsto 4x^2+\dfrac{3}{2}x-7[/tex]

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