Respuesta :

mhanifa

Answer:

  • B. 3

Step-by-step explanation:

Given:

  • f(x) = 3x - 2

Find the following:

  • [f(3 + h) - f(3)]/h =
  • [3(3 + h) - 2 - (3(3) - 2)]/h =
  • (9 + 3h - 2 - 9 + 2)/h =
  • 3h / h =
  • 3

Correct choice is B
  • f(x)=3x-2

f(3+h):-

[tex]\\ \sf\longmapsto f(3+h)[/tex]

[tex]\\ \sf\longmapsto 3(3+h)-2[/tex]

[tex]\\ \sf\longmapsto 3h+9-2[/tex]

[tex]\\ \sf\longmapsto 3h+7[/tex]

f(3):-

[tex]\\ \sf\longmapsto 3(3)-2[/tex]

[tex]\\ \sf\longmapsto 9-2[/tex]

[tex]\\ \sf\longmapsto 7[/tex]

Now

[tex]\\ \sf\longmapsto \dfrac{f(3+h)-f(3)}{h}[/tex]

[tex]\\ \sf\longmapsto \dfrac{3h+7-7}{h}[/tex]

[tex]\\ \sf\longmapsto \dfrac{3h}{h}[/tex]

[tex]\\ \sf\longmapsto 3[/tex]

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