Question

What is the domain for -(2(x-85))/(x+11)(x-5)

Answer 1

The denominator must be different than zero.

Therefore

`(x + 11)(x-5)\\eq0\iff x+11\\eq0\ \wedge\ x-5\\eq0\\\\x\\eq-11\ wedge\ x\\eq5`

The domain is the set of all real numbers except -11 and 5

`D=\mathbb{R}-\{-11,\ 5\}`