The height h (in feet) of an object dropped from a ledge after x seconds can be modeled by h(x)=−16x2+4. The object is dropped again from a different starting height so that it hits the ground 2 seconds later. Write a function g that models the path of the object the second time it is dropped.

1) The rational function f(x) is:
         
            (x - 6) (x + 3) (x + 4)
f(x) =
            (x + 6) (x - 3) (x - 4)

2) As you must know the division by 0 is not defined, so the function f(x) is not defined when the denominator is 0.

3) The denominator is 0 when any of the factors in it is 0.

4) x + 6 = 0 => x = - 6 => the function f(x) is not defined at x = - 6

5) x - 3 = 0 => x = 3 => fhe function f(x) is not defined at x = 3

6) x - 4 = 0 =. x = 4 => the function f(x) is not defined at x = 4

So, it has bee proven that Angie is correct.