Respuesta :

Answer:  D) 31

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Work Shown:

First evaluate f(2)

[tex]f(x) = 4x^3-10\\\\f(2) = 4(2)^3-10\\\\f(2) = 4(8)-10\\\\f(2) = 32-10\\\\f(2) = 22\\\\[/tex]

This means g(f(2)) = g(22). We replace f(2) with 22.

Now evaluate g(22)

[tex]g(x) = \frac{3x-4}{2}\\\\g(22) = \frac{3*22-4}{2}\\\\g(22) = \frac{66-4}{2}\\\\g(22) = \frac{62}{2}\\\\g(22) = 31\\\\[/tex]

Therefore, g(f(2)) = 31.

Answer:

D

Step-by-step explanation:

Let's start with f(2)

Substitute 2 as x in f(x)

4(2)^3-10

32-10

22

now take g(22) (f(x) is equal to 22) and substitute x as 22

(3(22)-4)/2

(66-4)/2

62/2

31

Answer is D

Hope this helps!

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