Find the Holes in the Graph f(x)=(3x+11)/(4x-16)

$f (x) = \frac{3 x + 11}{4 x - 16}$

Step 1

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

Factor $4$ out of $4 x$ .

$f (x) = \frac{3 x + 11}{4 (x) - 16}$

Factor $4$ out of $- 16$ .

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

Factor $4$ out of $4 x + 4 \cdot - 4$ .

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

Step 2

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

No holes

Step 3