SOLUTION: Hi, I have to find the vertical/horizontal asymptotes as well as the y-intercept of the following: {{{y=(x-1)/(2x^2+5x-3)}}} Vertical Asymptotes: {{{-2x + 1 = 0}}} {{{-x-3=

Algebra ->  Equations -> SOLUTION: Hi, I have to find the vertical/horizontal asymptotes as well as the y-intercept of the following: {{{y=(x-1)/(2x^2+5x-3)}}} Vertical Asymptotes: {{{-2x + 1 = 0}}} {{{-x-3=      Log On


   

Question 369327: Hi, I have to find the vertical/horizontal asymptotes as well as the y-intercept of the following:
y=%28x-1%29%2F%282x%5E2%2B5x-3%29
Vertical Asymptotes:
-2x+%2B+1+=+0
-x-3=0
x = 1%2F2
x = -3
Horizontal Asymptote:
x-1=0
x = 1
y-intercept:
%28-1%29%2F%28-3%29
y = 1%2F3
I think I've got it, but I just want to check. I've been struggling with these. Thanks so much :)
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Horizontal asymptote is y = 0.
Vertical asymptotes are gotten from the roots of the denominator: x = 1/2 and x = -3.
Y-intercept is 1/3. x-intercept is 1.