Given that f(x).....question and answers in the pic

Answer:
2x sqrt(3)
Step-by-step explanation:
f(x) = 4x sqrt(3x+3) =4x sqrt(3 (x+1)) = 4x sqrt(3 ) * sqrt (x+1)
g(x) = 2 sqrt(x+1)
f(x) / g(x) = 4x sqrt(3 ) * sqrt (x+1)/ 2 sqrt(x+1)
Canceling like terms
= 4x sqrt(3) / 2
= 2x sqrt(3)