Find the Holes in the Graph f(x)=(x-4)/(-4x-16)

$f (x) = \frac{x - 4}{- 4 x - 16}$

Factor $4$ out of $- 4 x - 16$ .

Factor $4$ out of $- 4 x$ .

$f (x) = \frac{x - 4}{4 (- x) - 16}$

Factor $4$ out of $- 16$ .

$f (x) = \frac{x - 4}{4 (- x) + 4 (- 4)}$

Factor $4$ out of $4 (- x) + 4 (- 4)$ .

$f (x) = \frac{x - 4}{4 (- x - 4)}$

Since no factors can be removed from the denominator, there are no holes in the graph.

No holes