Precalculus Examples

If $f (x) = - x^{3} + x^{2} + x$ ; find $f (- 3)$

Step 1

Replace the variable $x$ with $- 3$ in the expression.

$f (- 3) = - {(- 3)}^{3} + {(- 3)}^{2} - 3$

Step 2

Simplify $- {(- 3)}^{3} + {(- 3)}^{2} - 3$ .

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Step 2.1

Remove parentheses.

$- {(- 3)}^{3} + {(- 3)}^{2} - 3$

Step 2.2

Simplify each term.

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Step 2.2.1

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

$- - 27 + {(- 3)}^{2} - 3$

Step 2.2.2

Multiply $- 1$ by $- 27$ .

$27 + {(- 3)}^{2} - 3$

Step 2.2.3

Raise $- 3$ to the power of $2$ .

$27 + 9 - 3$

Step 2.3

Simplify by adding and subtracting.

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Step 2.3.1

Add $27$ and $9$ .

$36 - 3$

Step 2.3.2

Subtract $3$ from $36$ .

$33$