Question

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

Answer 1

(f/g)(x) = (x-1)/(2x-3)

Explanation:

Factor and simplify.

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