Question

Let f(x)=3x+5 and g(x) =3x^2 -x-10. find (f/g)(x) and state it’s domain

Answer 1

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

`\begin{gathered} =\text{ }(3x+5)/(3x^2-x-10) \\ =\text{ }(3x+5)/((3x+5)(x-2)) \\ =(1)/((X-2)) \end{gathered}`

Domain: x cannot equal 2