2. Find(f/g)(x) when f(x) = 6x2 + 12x and g(x) = 2x2 + 8x + 8. Show your work.

Answer:
:)
Step-by-step explanation:
[tex](\frac{f}{g}) (x) = \frac{f(x)}{g(x)} = \frac{6x^2 + 12x}{2x^2 + 8x + 8}[/tex]
[tex]= \frac{6x(x + 2)}{2(x^2 + 4x + 4)}\\\\=\frac{3x(x+2)}{(x+2)(x+2)}\\\\=\frac{3x}{(x+2)}[/tex]