Answer
Domain: $$x\in \mathbf{R}/\{8\}$$
Work Step by Step
Domain is all input values or $x$-values of the function.
The given function is:
$$f(x)=\frac{8+x}{8-x}$$
It is a rational function and is defined for all real numbers as input values except when denominator is zero ($x=8$):
$$x\in \mathbf{R}/\{8\}$$