Question

f(x)=2x²−5x+3
g(x)=4x²−12x+9
Find: (f/g)(x)

Answer 1

Answer:

  (f/g)(x) = (x-1)/(2x-3)

Step-by-step explanation:

Factor and simplify.

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