Respuesta :

[tex]f(x)= \sqrt{x+8} \Rightarrow f(g(x))= \sqrt{(8x-12)+8} = \sqrt{8x -4} [/tex]

Answer:

[tex]f(g(x))=\sqrt{8x-12} +8[/tex]

Step-by-step explanation:

 [tex]f(x)=\sqrt{x} +8[/tex]

[tex]g(x)= 8x-12[/tex]

f(g(x)) is a composition function

To find f(g(x)), plug in g(x) inside f(x)

[tex]f(g(x))= f(8x-12)[/tex]

Now plug in 8x-12 for x in f(x)

[tex]f(g(x))= f(8x-12)=\sqrt{8x-12} +8[/tex]

[tex]f(g(x))=\sqrt{8x-12} +8[/tex]