find domain and range of x-2 / x+4

Question

anonymous · Answer

to find the domain solve the denominator to see where it cannot equal zero, there is a vertical asymptote at that x value thus the domain will skip/not count that x value:
$x+4\neq 0~~\implies~~x\neq-4$
$domain:~(-\infty,-4)\cup(-4,\infty)$

the range is all real numbers:
$(-\infty,\infty)$

anonymous · Answer

I thought that too, but the range is 1. I set it equal to 1 and didn't have a solution. I was just looking for another way to solve it

anonymous · Answer

oh right sorry that is correct...there is a horizontal asymptote at 1 so the range is $(-\infty , 1)\cup(1,\infty)$ ... my bad