Answer
$(-∞,-7)∪(-7,9)∪(9,∞)$
Work Step by Step
Making $x=−7,9$ results in an undefined function, so those values are excluded from the domain.
$f(x)=\frac{1}{x+7}+\frac{3}{x-9}$
$(-∞,-7)∪(-7,9)∪(9,∞)$
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