Question

Find all numbers for which the rational expression is undefined.
q^3-4q/q^2-49

Answer 1

set denominator equal to zero
q^2-49 = 0

Answer 2

Factor this to solve for q

Answer 3

Hint: 7*7

Answer 4

Both positive and negative 7 are places where this function doesn't exist. In every case where you are asked to look for discontinuities and places where a function does not exist, as dumbcow says, look for places where the denomiator equals zero. Both positive and negative 7 makes the denomiator zero...

Answer 5

a graphing tool like wofram doesn't hurt...