Precalculus Examples

Let $f (x) = x^{2} - 13 x + 28$ and find $f (6)$

Step 1

Replace the variable $x$ with $6$ in the expression.

$f (6) = {(6)}^{2} - 13 \cdot 6 + 28$

Step 2

Simplify ${(6)}^{2} - 13 \cdot 6 + 28$ .

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Step 2.1

Remove parentheses.

${(6)}^{2} - 13 \cdot 6 + 28$

Step 2.2

Simplify each term.

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Step 2.2.1

Raise $6$ to the power of $2$ .

$36 - 13 \cdot 6 + 28$

Step 2.2.2

Multiply $- 13$ by $6$ .

$36 - 78 + 28$

Step 2.3

Simplify by adding and subtracting.

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Step 2.3.1

Subtract $78$ from $36$ .

$- 42 + 28$

Step 2.3.2

Add $- 42$ and $28$ .

$- 14$