Answer :

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)