Question

Find the vertical asymptote(s) of f of x equals quantity x squared plus 3x plus 6 end quantity over quantity x squared minus 4.

Answer 1

Answer:

  x = -2, x = 2

Step-by-step explanation:

The denominator factors as ...

  x^2 -4 = (x -2)(x +2)

The numerator has no factors that cancel either of these, so the function will have vertical asymptotes where the denominator is zero: at x = -2 and x = 2.