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

(f/g)(x)= (4x^2+6x)/(2x^2+13x+15) first simplify expression and write 13x as a sum to make easier factorization (4x^2+6x)/(2x^2+10x+3x+15) then factorize numerator and denominator   (2x(2x+3))/(2x(x+5) + 3(x+5)) rewrite and factor out denominator (2x(2x+3))/((2x+3)(x+5)) reduce fraction 2x/(x+5) hope that help you out