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)

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

Domain: x cannot equal 2