The given function is not defined for [tex]q=-1,q=4[/tex]
Option C is correct.
Domain of function:
It is defined as the all input values for which function is defined.
Given function are,
[tex]\frac{q^{2}+7q-8 }{q^{2} -3q-4}[/tex]
Above function is not defined where denominator of function will be zero.
[tex]q^{2}-3q-4=0\\ \\q^{2}-4q+q-4=0\\ \\q(q-4)+1(q-4)=0\\\\(q+1)(q-4)=0\\\\q=-1,q=4[/tex]
Thus, given function is not defined for [tex]q=-1,q=4[/tex]
Learn more about the Domain of function here:
https://brainly.com/question/1369616