Question

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

Answer 1

First off please write your expression in a more simplistic manner, because this form is hard to comprehend. Assuming you were going for (q^3-4q)/(q^2-49):

= (q^2-49)

= (q-7)*(q+7)

meaning you have undefined portions in the function where your denominator is equal to 0.

In this case the denominator is equal to zero when q=\[\pm7\].

those are the only ones that i see since cubics are smooth functions and have no undefined portions.