Find the Holes in the Graph f(x)=(-3x-15)/(5x+5)

$f (x) = \frac{- 3 x - 15}{5 x + 5}$

Step 1

Factor $3$ out of $- 3 x - 15$ .

Factor $3$ out of $- 3 x$ .

$f (x) = \frac{3 (- x) - 15}{5 x + 5}$

Factor $3$ out of $- 15$ .

$f (x) = \frac{3 (- x) + 3 (- 5)}{5 x + 5}$

Factor $3$ out of $3 (- x) + 3 (- 5)$ .

$f (x) = \frac{3 (- x - 5)}{5 x + 5}$

Step 2

Factor $5$ out of $5 x + 5$ .

Factor $5$ out of $5 x$ .

$f (x) = \frac{3 (- x - 5)}{5 (x) + 5}$

Factor $5$ out of $5$ .

$f (x) = \frac{3 (- x - 5)}{5 (x) + 5 (1)}$

Factor $5$ out of $5 (x) + 5 (1)$ .

$f (x) = \frac{3 (- x - 5)}{5 (x + 1)}$

Step 3

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

No holes

Step 4