Find the Holes in the Graph f(x)=(4x+18)/(-3x)

$f (x) = \frac{4 x + 18}{- 3 x}$

Step 1

Factor $2$ out of $4 x + 18$ .

Factor $2$ out of $4 x$ .

$f (x) = \frac{2 (2 x) + 18}{- 3 x}$

Factor $2$ out of $18$ .

$f (x) = \frac{2 (2 x) + 2 (9)}{- 3 x}$

Factor $2$ out of $2 (2 x) + 2 (9)$ .

$f (x) = \frac{2 (2 x + 9)}{- 3 x}$

Step 2

Move the negative in front of the fraction.

$f (x) = - \frac{2 (2 x + 9)}{(3) x}$

Step 3

Multiply $3$ by $x$ .

$f (x) = - \frac{2 (2 x + 9)}{3 x}$

Step 4

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

No holes

Step 5