Precalculus Examples

$f (1) = \frac{6}{x^{2} - 5 x - 6}$

Step 1

Replace the variable $x$ with $1$ in the expression.

$f (1) = \frac{6}{{(1)}^{2} - 5 \cdot 1 - 6}$

Step 2

Simplify the result.

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Step 2.1

Simplify the denominator.

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Step 2.1.1

One to any power is one.

$f (1) = \frac{6}{1 - 5 \cdot 1 - 6}$

Step 2.1.2

Multiply $- 5$ by $1$ .

$f (1) = \frac{6}{1 - 5 - 6}$

Step 2.1.3

Subtract $5$ from $1$ .

$f (1) = \frac{6}{- 4 - 6}$

Step 2.1.4

Subtract $6$ from $- 4$ .

$f (1) = \frac{6}{- 10}$

Step 2.2

Reduce the expression by cancelling the common factors.

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Step 2.2.1

Cancel the common factor of $6$ and $- 10$ .

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Step 2.2.1.1

Factor $2$ out of $6$ .

$f (1) = \frac{2 (3)}{- 10}$

Step 2.2.1.2

Cancel the common factors.

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Step 2.2.1.2.1

Factor $2$ out of $- 10$ .

$f (1) = \frac{2 \cdot 3}{2 \cdot - 5}$

Step 2.2.1.2.2

Cancel the common factor.

$f (1) = \frac{2 \cdot 3}{2 \cdot - 5}$

Step 2.2.1.2.3

Rewrite the expression.

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

Step 2.2.2

Move the negative in front of the fraction.

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

Step 2.3

The final answer is $- \frac{3}{5}$ .

$- \frac{3}{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$- \frac{3}{5}$

Decimal Form:

$- 0.6$

Step 4