Finite Math Examples

$f (- 3) = \frac{5 x}{x - 3}$

Step 1

Replace the variable $x$ with $- 3$ in the expression.

$f (- 3) = \frac{5 (- 3)}{(- 3) - 3}$

Step 2

Simplify the result.

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Step 2.1

Cancel the common factor of $- 3$ and $(- 3) - 3$ .

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Step 2.1.1

Factor $3$ out of $5 (- 3)$ .

$f (- 3) = \frac{3 (5 \cdot (- 1))}{(- 3) - 3}$

Step 2.1.2

Cancel the common factors.

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Step 2.1.2.1

Factor $3$ out of $- 3$ .

$f (- 3) = \frac{3 (5 \cdot (- 1))}{3 (- 1) - 3}$

Step 2.1.2.2

Factor $3$ out of $- 3$ .

$f (- 3) = \frac{3 (5 \cdot (- 1))}{3 \cdot - 1 + 3 \cdot - 1}$

Step 2.1.2.3

Factor $3$ out of $3 \cdot - 1 + 3 \cdot - 1$ .

$f (- 3) = \frac{3 (5 \cdot (- 1))}{3 \cdot (- 1 - 1)}$

Step 2.1.2.4

Cancel the common factor.

$f (- 3) = \frac{3 (5 \cdot (- 1))}{3 \cdot (- 1 - 1)}$

Step 2.1.2.5

Rewrite the expression.

$f (- 3) = \frac{5 \cdot (- 1)}{- 1 - 1}$

Step 2.2

Multiply $5$ by $- 1$ .

$f (- 3) = \frac{- 5}{- 1 - 1}$

Step 2.3

Reduce the expression by cancelling the common factors.

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Step 2.3.1

Subtract $1$ from $- 1$ .

$f (- 3) = \frac{- 5}{- 2}$

Step 2.3.2

Dividing two negative values results in a positive value.

$f (- 3) = \frac{5}{2}$

Step 2.4

The final answer is $\frac{5}{2}$ .

$\frac{5}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{2}$

Decimal Form:

$2.5$

Mixed Number Form:

$2 \frac{1}{2}$

Step 4