Question

Give an example of a function g(x) such that has vertical asymptotes at x = −1 and x = 2.

Answer 1

`(69420)/((x+1)(x-2))`

Explanation:

An asymptote of a vertical line is one that the graph can't exactly reach, but can get as close as you want it to be (as long as the distance is not 0), while the x- or y-coordinates tend to plus/minus infinity. An example of where this happens is when filling in the x-value would result in a zero in the denominator, hence the answer.