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
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.