Find the Holes in the Graph f(x)=(x+10)/(6x-14)

$f (x) = \frac{x + 10}{6 x - 14}$

Step 1

Factor $2$ out of $6 x - 14$ .

Factor $2$ out of $6 x$ .

$f (x) = \frac{x + 10}{2 (3 x) - 14}$

Factor $2$ out of $- 14$ .

$f (x) = \frac{x + 10}{2 (3 x) + 2 (- 7)}$

Factor $2$ out of $2 (3 x) + 2 (- 7)$ .

$f (x) = \frac{x + 10}{2 (3 x - 7)}$

Step 2

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

No holes

Step 3