Janiyahmdm
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given the following functions f(x) and g(x), solve f[g(6)] and select the correct answer below:

f(x) = 6x 12

g(x) = x − 8

−96
0
24
48

Respuesta :

First you need to find g(6) which is -2 now plug in -2 into the function f. So 6(-2)+12=0

Answer:  The correct option is (B) 0.

Step-by-step explanation:  We are given the following two functions :

[tex]f(x)=6x+12,\\\\g(x)=x-8.[/tex]

We are to find the value of f(g(6)).

To find the required value, first we need to find the value of f(g(x)).

We have

[tex]f(g(x))\\\\=f(x-8)\\\\=6(x-8)+12\\\\=6x-48+12\\\\=6x-36.[/tex]

Therefore, we get

[tex]f(g(6))=6\times6-36=36-36=0.[/tex]

Thus, the required value of f(g(x)) is 0.

Option (B) is CORRECT.

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