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).

Explanation:

We know that

$(\frac{f}{g})(x)=\frac{f(x)}{g(x)}$

Now

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

Final Answer:

$(\frac{f}{g})(x)=\frac{x(x+3)}{4-x}$