Precalculus Examples

$f (x) = 3 x^{2} - 3 x + 1$ Find $f (- 2)$

Step 1

Replace the variable $x$ with $- 2$ in the expression.

$f (- 2) = 3 {(- 2)}^{2} - 3 \cdot - 2 + 1$

Step 2

Simplify $3 {(- 2)}^{2} - 3 \cdot - 2 + 1$ .

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Step 2.1

Remove parentheses.

$3 {(- 2)}^{2} - 3 \cdot - 2 + 1$

Step 2.2

Simplify each term.

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Step 2.2.1

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

$3 \cdot 4 - 3 \cdot - 2 + 1$

Step 2.2.2

Multiply $3$ by $4$ .

$12 - 3 \cdot - 2 + 1$

Step 2.2.3

Multiply $- 3$ by $- 2$ .

$12 + 6 + 1$

Step 2.3

Simplify by adding numbers.

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Step 2.3.1

Add $12$ and $6$ .

$18 + 1$

Step 2.3.2

Add $18$ and $1$ .

$19$