Respuesta :

sqdancefan

Answer:

  (f/g)(x) = (x-1)/(2x-3)

Step-by-step explanation:

Factor and simplify.

  [tex](f/g)(x)=\dfrac{f(x)}{g(x)}=\dfrac{2x^2-5x+3}{4x^2-12x+9}=\dfrac{(2x-3)(x-1)}{(2x-3)^2}\\\\\boxed{(f/g)(x)=\dfrac{x-1}{2x-3}}[/tex]