Answer
The domain is all real numbers except $x\ne5$, and $x\ne2$.
Work Step by Step
Restrictions in a domain occur when any value of $x$ results in an zero in the denominator. To find this value, set the expression in the denominator equal to zero, and solve.
$2x^{2}-14x+20=0$
$(2)(x-5)(x-2)=0$ Factor and solve
$x=5$ and $x=2$
Thus, the domain is all real numbers except $x\ne5$, and $x\ne2$.
