Algebra Examples

$f (x) = \frac{{(- 1)}^{2} + (- 1) - 12}{{(- 1)}^{2} - 4}$

Step 1

Simplify $\frac{{(- 1)}^{2} - 1 - 12}{{(- 1)}^{2} - 4}$ .

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Step 1.1

Simplify the numerator.

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Step 1.1.1

Raise $- 1$ to the power of $2$ .

$f (x) = \frac{1 - 1 - 12}{{(- 1)}^{2} - 4}$

Step 1.1.2

Subtract $1$ from $1$ .

$f (x) = \frac{0 - 12}{{(- 1)}^{2} - 4}$

Step 1.1.3

Subtract $12$ from $0$ .

$f (x) = \frac{- 12}{{(- 1)}^{2} - 4}$

Step 1.2

Simplify the denominator.

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Step 1.2.1

Raise $- 1$ to the power of $2$ .

$f (x) = \frac{- 12}{1 - 4}$

Step 1.2.2

Subtract $4$ from $1$ .

$f (x) = \frac{- 12}{- 3}$

Step 1.3

Divide $- 12$ by $- 3$ .

$f (x) = 4$

Step 2

Subtract $f (x)$ from both sides of the equation.

$0 = 4 - f (x)$

Step 3

Rewrite the equation as $4 - f (x) = 0$ .

$4 - f (x) = 0$