Precalculus Examples

$f (- 6) = \frac{x^{2} - 49}{x}$

Step 1

Replace the variable $x$ with $- 6$ in the expression.

$f (- 6) = \frac{{(- 6)}^{2} - 49}{- 6}$

Step 2

Simplify the result.

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Step 2.1

Simplify the numerator.

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Step 2.1.1

Raise $- 6$ to the power of $2$ .

$f (- 6) = \frac{36 - 49}{- 6}$

Step 2.1.2

Subtract $49$ from $36$ .

$f (- 6) = \frac{- 13}{- 6}$

Step 2.2

Dividing two negative values results in a positive value.

$f (- 6) = \frac{13}{6}$

Step 2.3

The final answer is $\frac{13}{6}$ .

$\frac{13}{6}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{13}{6}$

Decimal Form:

$2.1\overline{6}$

Mixed Number Form:

$2 \frac{1}{6}$

Step 4