SOLUTION: For each rational function, identify any holes or horizontal or vertical asymptotes of its graph. 1. y=[1/x+4]-3 I got: Holes: none Vertical Asymptotes: x=-4 Horizontal Asympt

Algebra ->  Rational-functions -> SOLUTION: For each rational function, identify any holes or horizontal or vertical asymptotes of its graph. 1. y=[1/x+4]-3 I got: Holes: none Vertical Asymptotes: x=-4 Horizontal Asympt      Log On


   

Question 196710: For each rational function, identify any holes or horizontal or vertical asymptotes of its graph.
1. y=[1/x+4]-3
I got:
Holes: none
Vertical Asymptotes: x=-4
Horizontal Asymptotes: y=-3
For the horizontal asymptotes would it be -3 or 3? Or is it something completely different?
2. y=[3/x-1] -2
I got:
Holes: none
Vertical Asymptotes: x=1
Horizontal Asymptotes: y=-2
Would the horizontal asymptote be -2 or 2? Or something else?
Are these right?
I'm not sure if I am doing these type correctly
Thanks in advance for any help!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
# 1
If the equation is y=1%2F%28x%2B4%29-3, then you are correct, the vertical asymptote is x=-4 and the horizontal asymptote is y=-3 (you're first choice)


# 2
Likewise, if the equation is y=3%2F%28x-1%29-2, the vertical asymptote is x=1 and the horizontal asymptote is y=-2 (again, you're first choice)


So you are correct on both of them.