Question

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

Answer 1

2x sqrt(3)

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)