Solution:
(a)
[tex]k(x)=\frac{x+5}{x-11}[/tex]
The graph of the function is;
Thus, the domain of the function in interval notation is;
[tex](-\infty,11)\cup(11,\infty)[/tex]
(b)
[tex]f(x)=\frac{x+5}{x^2+11}[/tex]
The graph of the function is;
Thus, the domain of the function in interval notation is;
[tex](-\infty,\infty)[/tex]
