Find the Holes in the Graph f(x)=(9x+30)/(16x-44)

$f (x) = \frac{9 x + 30}{16 x - 44}$

Factor $3$ out of $9 x + 30$ .

Factor $3$ out of $9 x$ .

$f (x) = \frac{3 (3 x) + 30}{16 x - 44}$

Factor $3$ out of $30$ .

$f (x) = \frac{3 (3 x) + 3 (10)}{16 x - 44}$

Factor $3$ out of $3 (3 x) + 3 (10)$ .

$f (x) = \frac{3 (3 x + 10)}{16 x - 44}$

Factor $4$ out of $16 x - 44$ .

Factor $4$ out of $16 x$ .

$f (x) = \frac{3 (3 x + 10)}{4 (4 x) - 44}$

Factor $4$ out of $- 44$ .

$f (x) = \frac{3 (3 x + 10)}{4 (4 x) + 4 (- 11)}$

Factor $4$ out of $4 (4 x) + 4 (- 11)$ .

$f (x) = \frac{3 (3 x + 10)}{4 (4 x - 11)}$

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

No holes