Question

9(x) = 2x + 3Find() (a). Include any restrictions on the domain.O A (?) (a) –C.SUBMIT

Answer 1

Determine the function for (f/g)(x).

`\begin{gathered} ((f)/(g))(x)=(f(x))/(g(x)) \\ =\frac{\sqrt[3]{4x}}{2x+3} \end{gathered}`

For the function (f/g)(x) to be defined the denominator must not equal to 0. So,

`\begin{gathered} 2x+3\\e0 \\ 2x\\e-3 \\ x\\e-(3)/(2) \end{gathered}`

Thus answer is,

`((f)/(g))(x)=\frac{\sqrt[3]{4x}}{2x+3},x\\e-(3)/(2)`

Option D is correct.