Question

Please help me! Given f(x)=4x^2+6x and g(x)=2x^2+13x+15, find (f/g)(x). Show your work.

Answer 1

First, I would factor f(x) and g(x).
f(x)=2x(2x+3)
g(x)=(2x+3)(x+5)
Then divide.
(f/g)(x)=$\frac{2x(2x+3)}{(2x+3)(x+5)}$
Cancel out (2x+3)
you are left with 2x/(x+5)