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

Tap for more steps...

Step 2.1

Remove parentheses.

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

Step 2.2

Simplify each term.

Tap for more steps...

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 $9$ .

$27 + 18 - 11$

Step 2.3

Simplify by adding and subtracting.

Tap for more steps...

Step 2.3.1

Add $27$ and $18$ .

$45 - 11$

Step 2.3.2

Subtract $11$ from $45$ .

$34$