f(x)=v^2+13/v^2-4v-32

Question

Find all numbers that are not in the domain of the function. Then give the domain in set notation.

Answer 1

set denominator equal to 0 and solve for x which would make the equation undefined
v^2-4v-32=0
(v-8)(v+4)=0
v=8, v=-4
x is not equal to 8 or -4

Answer 2

The denominator cannot be zero, so find the roots of the denominator.

(v-8)*(v+4)=0
so v cannot be 8, or -4