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]
