Answer:
[tex]\frac{2x}{x+5}[/tex]
Step-by-step explanation:
We are given a function for f and g, and are asked to find f/g.
We know f = 4x^2 + 6x and g = 2x^2 + 13x + 15
Simply put function of f over g.
[tex]\frac{4x^2+6x}{2x^2+13x+15}[/tex]
Factor:
[tex]\frac{2x(2x+3)}{(2x+3)(x+5)}[/tex]
Since both numerator and denominator have 2x + 3, we can cancel them out.
[tex]\frac{2x}{x+5}[/tex] is our answer.
