Respuesta :

f(g(x))= 2(g(x))+5 = 2(x-7)+5 = 2x-14+5 = 2x-9
when x= -3
f(g(-3))= 2(-3)-9 = -6-9 = -15

Answer:

-15

Step-by-step explanation:

Given : [tex]f(x) = 2x + 5[/tex]

            [tex]g(x) = x-7[/tex]

To Find: solve for f(g(x)) when x = −3

Solution:

[tex]f(x) = 2x + 5[/tex]

[tex]g(x) = x-7[/tex]

[tex]f(g(x)) = 2(x-7)+ 5=2x-14+5=2x-9[/tex]  ---1

Now we are supposed to find f(g(x)) when x = −3

So, substitute x = -3 in 1

[tex]f(g(-3)) =2(-3)-9[/tex]

[tex]f(g(-3)) =-6-9[/tex]

[tex]f(g(-3)) =-15[/tex]

Hence f(g(x)) when x = −3 is -15.

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