F(x)=2x^2+4x-16
g(x)=4x^2-16
Find (f/g)(x).

Step-by-step explanation:

2x²+4x -16 =  2(x²+2x-8); factor 2

                  = 2(x+4)(x-2) ;factor the quadratic equation

4x²-16  = 4(x²-4) ; factor 4

            =4(x²- 2²) ; rewrite 4 as 2²

           = 4(x-2)(x+2); now use the difference of two squares a²-b²=(a-b)(a+b)

so now we have:

; simplify (x-2) from numerator and denominator

                                  and 2/4 as 1/2

step-by-step explanation:

1. 3

2. 4

3. 1

hope this ! have a great day.

-wfz