Question

Can someone please help me with this question?

Answer 1

Answer:

$\frac{2x}{x+5}$

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.

$\frac{4x^2+6x}{2x^2+13x+15}$

Factor:

$\frac{2x(2x+3)}{(2x+3)(x+5)}$

Since both numerator and denominator have 2x + 3, we can cancel them out.

$\frac{2x}{x+5}$ is our answer.