Answer
$(-∞,2)∪(2,\frac{10}{3})∪(\frac{10}{3},∞)$
Work Step by Step
Making $x=2,\frac{10}{3}$ results in an undefined function, so those values are excluded from the domain.
$f(x)=\frac{1}{\frac{4}{x-2}-3}$
$(-∞,2)∪(2,\frac{10}{3})∪(\frac{10}{3},∞)$