Question

2. Find (f/g)(x) for f(x)=1/x and g(x)=x^3

Answer 1

Given:

`\begin{gathered} f(x)=\text{ }(1)/(x) \\ g(x)=x^3 \end{gathered}`

Required:

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

Re-writing the given expression:

`((f)/(g))(x)\text{ = }(f(x))/(g(x))`

Hence:

`\begin{gathered} (f(x))/(g(x))=\text{ }((1)/(x))/(x^3) \\ =\text{ }(1)/(x)*(1)/(x^3) \\ =\text{ }(1)/(x^4) \end{gathered}`

Answer:

`((f)/(g))(x)=(1)/(x^4)`