Question

Can someone please help me with this question?

Answer 1

`(2x)/(x+5)`

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.

`(4x^2+6x)/(2x^2+13x+15)`

Factor:

`(2x(2x+3))/((2x+3)(x+5))`

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

`(2x)/(x+5)` is our answer.