Precalculus Examples

$f (- 1.8) = \frac{x^{3} + x^{2}}{x^{2} - 4}$

Step 1

Replace the variable $x$ with $- 1.8$ in the expression.

$f (- 1.8) = \frac{{(- 1.8)}^{3} + {(- 1.8)}^{2}}{{(- 1.8)}^{2} - 4}$

Step 2

Simplify the result.

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Step 2.1

Simplify the numerator.

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Step 2.1.1

Raise $- 1.8$ to the power of $3$ .

$f (- 1.8) = \frac{- 5.832 + {(- 1.8)}^{2}}{{(- 1.8)}^{2} - 4}$

Step 2.1.2

Raise $- 1.8$ to the power of $2$ .

$f (- 1.8) = \frac{- 5.832 + 3.24}{{(- 1.8)}^{2} - 4}$

Step 2.1.3

Add $- 5.832$ and $3.24$ .

$f (- 1.8) = \frac{- 2.592}{{(- 1.8)}^{2} - 4}$

Step 2.2

Simplify the denominator.

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Step 2.2.1

Raise $- 1.8$ to the power of $2$ .

$f (- 1.8) = \frac{- 2.592}{3.24 - 4}$

Step 2.2.2

Subtract $4$ from $3.24$ .

$f (- 1.8) = \frac{- 2.592}{- 0.76}$

Step 2.3

Divide $- 2.592$ by $- 0.76$ .

$f (- 1.8) = 3.41052631$

Step 2.4

The final answer is $3.41052631$ .

$3.41052631$

Step 3