Step 1 :Find the quotient of f(x) and g(x): \(\frac{f(x)}{g(x)} = \frac{\sqrt[3]{4x}}{3x + 5}\)
Step 2 :Simplify the expression and find domain restrictions: \(\boxed{\frac{2^{\frac{2}{3}}x^{\frac{1}{3}}}{3x + 5}}\) with a domain restriction of \(x \neq -\frac{5}{3}\)