Question

Let f(x)=x^2+3x and g(x)=4-xfind (f/g)(x)

Answer 1

Given:

`\begin{gathered} f(x)=x^2+3x \\ g(x)=4-x \end{gathered}`

Required:

To find (f/g)(x).

Step-by-step explanation:

We know that

`((f)/(g))(x)=(f(x))/(g(x))`

Now

`\begin{gathered} ((f)/(g))(x)=(x^2+3x)/(4-x) \\ \\ =(x(x+3))/(4-x) \end{gathered}`

Final Answer:

`((f)/(g))(x)=(x(x+3))/(4-x)`