(PLEASE HELP)
Given the equation xy+2y=5x+4, show that y is a function of and determine the domain in interval notation.

Question

(PLEASE HELP) 
Given the equation xy+2y=5x+4, show that y is a function of  and determine the domain in interval notation.

anonymous · Answer

factor out the $y$ and then divide to solve for it

anonymous · Answer

$$y(x+2)=5x+4$$ is the first step

istim · Answer

y = (5x+4)/(x+2)

The domain would be:
(-2, infinity)

I'm pretty sure. Someone can correct me if I'm wrong.

istim · Answer

It would be regular bracket notation because X CANNOT equal to -2.

anonymous · Answer

wouldn't it turn out to be (-infinity,-2)U(-2, infinity)?, this is what I got and yes x cannot equal to -2

istim · Answer

The regular domain would simply be xEr such that x cannot equal -2, translating that to interval notation would be (-2, infinity)

istim · Answer

Actually yes I think you are correct. It does approach negative 2 from both sides.