Question

Describe the asymptotes and discontinuities of: (x-2)(x+1)/(x+1)(x-3).

Answer 1

wherever the denominator = 0 is a discontinuity
in our example x+1 cancels from num.
and denom.

we are left with ( x-2)/(x-3)
x= 3 is our vertical asymptote

and as x grows to a very very big number
the equation goes to x/x or 1
so 1 is our horizontal asymptote