## Intermediate Algebra (6th Edition)

The domain is all real numbers except $x\ne0$, and $x\ne7$.
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. $x^{2}-7x=0$ $(x)(x-7)=0$ Factor and solve $x=0$ and $x=7$ Thus, the domain is all real numbers except $x\ne0$, and $x\ne7$.