Question

Identify the x-intercepts and vertical asymtotes of the graph of the function.
g(x)=(2x^2-3x-20)/(x^2+1)
My answer: x-int.: 4, -2.5
no vertical asymptotes. Horizonal asy: 4, -2.5
Please check my answer. Thanks!

Answer 1

x intersects are correct

Answer 2

limit as x> +/-infinity g(x) = 2

Answer 3

so horizontal asymptote at y = 2