Precalculus Examples

$f (x) = - x^{3} + 2 x^{2} - 11$ ,

$f (- 3)$

Step 1

Replace the variable

$x$ with

$- 3$ in the expression.

$f (- 3) = - {(- 3)}^{3} + 2 {(- 3)}^{2} - 11$

Step 2

Simplify

$- {(- 3)}^{3} + 2 {(- 3)}^{2} - 11$ .

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Step 2.1

Remove parentheses.

$- {(- 3)}^{3} + 2 {(- 3)}^{2} - 11$

Step 2.2

Simplify each term.

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Step 2.2.1

Raise

$- 3$ to the power of

$3$ .

$- - 27 + 2 {(- 3)}^{2} - 11$

Step 2.2.2

Multiply

$- 1$ by

$- 27$ .

$27 + 2 {(- 3)}^{2} - 11$

Step 2.2.3

Raise

$- 3$ to the power of

$2$ .

$27 + 2 \cdot 9 - 11$

Step 2.2.4

Multiply

$2$ by

$9$ .

$27 + 18 - 11$

$27 + 18 - 11$

Step 2.3

Simplify by adding and subtracting.

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Step 2.3.1

Add

$27$ and

$18$ .

$45 - 11$

Step 2.3.2

Subtract

$11$ from

$45$ .

$34$

$34$

$34$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$