SOLUTION: Find all numbers that are not in the domain of the function.then give the domain in set notation. F(v)= v^2+12 ÷ v^2-3v-4 List any numbers that should be excluded from the d

Algebra ->  Functions -> SOLUTION: Find all numbers that are not in the domain of the function.then give the domain in set notation. F(v)= v^2+12 ÷ v^2-3v-4 List any numbers that should be excluded from the d      Log On


   

Question 990701: Find all numbers that are not in the domain of the function.then give the domain in set notation.
F(v)= v^2+12 ÷ v^2-3v-4
List any numbers that should be excluded from the domain.
Answer by ikleyn(52754) About Me  (Show Source):
You can put this solution on YOUR website!
.
F(v) = %28v%5E2%2B12%29%2F%28v%5E2-3v-4%29.

The denominator is zero in the points  v=-1  and  v=4  (they are the roots of he quadratic polynomial in the denominator).

So,  the domain of the function is the entire number line except these points.

It is semi-infinite interval  (-infinity,-1)  plus the interval  (-1,4)  plus the semi-infinite interval  (4, infinity).