f(x) = 4x² + 6x
g(x) = 2x² + 13x + 15
Question is asking you to divide the two functions (f/g)
Therefore:
(4x²+6x) / (2x²+13x+15)
Factor the numerator:
2x(2x+3)
Factor the denominator:
2x²+13x+15
= (2x+3)(x+5)
You now have ((2x(2x+3))/(2x+3)(x+5))
The 2x+3 on top and bottom cancel, so you're left with:
(2x)/(x+5)
