Respuesta :
The quotient of the given function is [tex]\frac{3y+2}{6y^2}[/tex]
Given the functions:
- [tex]\frac{3y+2}{3y} \div\frac{6y^2+4y}{3y+2}[/tex]
This can be written as:
- [tex]=\frac{3y+2}{3y} \times \frac{3y+2}{6y^2+4y}\\=\frac{3y+2}{3y} \times \frac{3y+2}{2y(3y+2)}\\[/tex]
Canceling out the like terms;
- [tex]=\frac{3y+2}{3y(2y)}\\= \frac{3y+2}{6y^2}[/tex]
Hence the quotient of the given function is [tex]\frac{3y+2}{6y^2}[/tex]
Learn more on quotient of functions here: Â https://brainly.com/question/8343420