To find the domain of the rational function we need to equate the denominator to zero and solve the equation, as follows:
[tex]\begin{gathered} x+14=0 \\ x+14-14=-14 \\ x=-14 \end{gathered}[/tex]
Then, all the x-values are valid except x = -14, which makes the denominator equal to zero. Therefore, the domain of R(x) is:
[tex]\lbrace x|x\ne-14\rbrace[/tex]
