Problem

\[ \begin{array}{l} f(x)=\sqrt[3]{4 x} \\ g(x)=3 x+5 \end{array} \] Find $\left(\frac{f}{g}\right)(x)$. Include any restrictions on the domain.

Solution

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 \(x \neq -\frac{5}{3}\)

From Solvely APP
Source: https://solvelyapp.com/problems/12266/

Get free Solvely APP to solve your own problems!

solvely Solvely
Download