Respuesta :

Answer:

{x | x ≠ -1, 2, 4}

Step-by-step explanation:

Domain: input values (x-values)

Asymptote: a line which the curve gets infinitely close to, but never touches.

Hole: a point on the graph where the function is not defined.

From inspection of the graph:

  • Vertical asymptotes at x = -1 and x = 4
  • Hole at x = 2

As vertical asymptotes and holes restrict the domain of a rational function, the domain is  {x | x ≠ -1, 2, 4}