Solution
Given
[tex]\frac{x-14}{x+34}[/tex]The function is undefine when x = - 34
The domain is
[tex]\begin{gathered} (-\infty,-34)\cup(-34,\infty) \\ \\ \text{ or} \\ \\ \mathbb{R}-\lbrace-34\rbrace \end{gathered}[/tex][tex]\lbrace x|x\ne-34\rbrace[/tex]