Answer
$(-∞,-8)∪(-8,10)∪(10,∞)$
Work Step by Step
Making $x=−8,10$ results in an undefined function, so those values are excluded from the domain.
$f(x)=\frac{1}{x+8}+\frac{3}{x-10}$
$(-∞,-8)∪(-8,10)∪(10,∞)$
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