Example 3: Determine the vertical asymptote/s of the rational
2x - 4
function f(x) =
x+1
Solution:
Since the rational function is already in simple form, the next
step is to find the value where its denominator is zero. That is:
noon at to ex+ 1 = 0
Therefore, the vertical asymptote is the line x = -1. The vertical
asymptote of the function is represented by the vertical line passing
through -1 (Figure 3),
Figure 3​