Question

How can I find the vertical asymptote (s) of the curve y=x^2-4/x^2-3x-10

Answer 1

y=x^2-4/x^2-3x-10
find the zero of x^2-3x-10

Answer 2

The equation can be written as:

\[y = \frac{ x^2 - 4 }{ x^2 - 3x -10 }\]

Answer 3

x^2-3x-10=(x-5)(x+2)
x=5 is a vertical asymptote
but x=-2 is not vertical asymptote because the lim f(x) x-->-2 is not infinity