What is the domain of the function $$j(x) = \frac{1}{x+8} + \frac{1}{x^2+8} + \frac{1}{x^3+8}~?$$Express your answer as a union of intervals.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the domain of the function $$j(x) = \frac{1}{x+8} + \frac{1}{x^2+8} + \frac{1}{x^3+8}~?$$Express your answer as a union of intervals.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
(-\infty,-8)\cup (-8,-2)\cup (-2,\infty)
What is the domain of the function $$j(x) = \frac{1}{x+8} + \frac{1}{x^2+8} + \frac{1}{x^3+8}~?$$Express your answer as a union of intervals.
train