Algebra Examples

$f (x) = \frac{x - 10}{3 x - 24}$

Step 1

Factor $3$ out of $3 x - 24$ .

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Step 1.1

Factor $3$ out of $3 x$ .

$f (x) = \frac{x - 10}{3 (x) - 24}$

Step 1.2

Factor $3$ out of $- 24$ .

$f (x) = \frac{x - 10}{3 x + 3 \cdot - 8}$

Step 1.3

Factor $3$ out of $3 x + 3 \cdot - 8$ .

$f (x) = \frac{x - 10}{3 (x - 8)}$

Step 2

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

No holes

Step 3