Answer: C
Step-by-step explanation:
To find f(g(x)), you plug in g(x) into f(x).
[tex]f(g(x))=\sqrt{(8x-12)+8}[/tex] [combine like terms]
[tex]f(g(x))=\sqrt{8x-4}[/tex] [factor]
[tex]f(g(x))=\sqrt{4(2x-1)}[/tex] [square root of 4]
[tex]f(g(x))=2\sqrt{2x-1}[/tex]
Now, we know that the answer is C.
