Find the Holes in the Graph f(x)=(5x)/(-2x-4)

$f (x) = \frac{5 x}{- 2 x - 4}$

Step 1

Factor $2$ out of $- 2 x - 4$ .

Factor $2$ out of $- 2 x$ .

$f (x) = \frac{5 x}{2 (- x) - 4}$

Factor $2$ out of $- 4$ .

$f (x) = \frac{5 x}{2 (- x) + 2 (- 2)}$

Factor $2$ out of $2 (- x) + 2 (- 2)$ .

$f (x) = \frac{5 x}{2 (- x - 2)}$

Step 2

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

No holes

Step 3