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. :/

Answer 1

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

Answer 2

vertical asymptote where the denominator is zero, namely at \(x=3\)

Answer 3

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 \(y=5\)

Answer 4

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

Answer 5

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