Evaluate f(x)=((-1)^2+(-1)-12)/((-1)^2-4)

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

Step 1

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

Simplify the numerator.

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

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

Subtract $1$ from $1$ .

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

Subtract $12$ from $0$ .

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

Simplify the denominator.

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

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

Subtract $4$ from $1$ .

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

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 $4 - f (x) = 0$ .

$4 - f (x) = 0$