y=16/x-3 + 5
write the equations for the asymptotes and state the domain and range. PLEASE. i have no idea what i am doing. :/

Question

y=16/x-3 + 5 
write the equations for the asymptotes and state the domain and range. PLEASE. i have no idea what i am doing. :/

anonymous · Answer

$$y=\frac{16}{x-3}+5$$ right?

anonymous · Answer

vertical asymptote where the denominator is zero, namely at $x=3$

anonymous · Answer

horizontal asymptote: as $x$ gets large, $\frac{16}{x-3}$ goes to zero (gets smaller and smaller) so the entire thing 
$$\frac{16}{x-3}+5$$ gets closer and closer to $5$
horizontal asymptote at $y=5$

anonymous · Answer

you can almost read off the answers from the equation 
$$y=\frac{16}{x-3}+5$$ vertical asymptote $x=3$ horizontal asymptote $y=5$ that is all

anonymous · Answer

wow, i didnt even realize that. thanks so much for helping! (: