Question

Can anyone help me on this problem? Provide a written explanation describing a step by step process to find the vertical asymptotes of a rational function.

Answer 1

Set the denominator of the rational function equal to 0. This is where the function does not exist, a vertical asymptote.

Answer 2

Phydaeux is right. Sometimes it's notated as y=/= x or as VA @ x

Answer 3

\[f(x)=(x^3-2x)/(2(x^2-5))\]

2x^2-10 =0
2x^2=10
x^2=5
\[x=\sqrt{5}\]

So you have a vertical asymptote at \[x=\sqrt{5}\]