Calculus Examples

$f (x) = x^{2} + 2 x - 6$ , $f (5)$

Step 1

Replace the variable $x$ with $5$ in the expression.

$f (5) = {(5)}^{2} + 2 (5) - 6$

Step 2

Simplify ${(5)}^{2} + 2 (5) - 6$ .

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Step 2.1

Remove parentheses.

${(5)}^{2} + 2 (5) - 6$

Step 2.2

Simplify each term.

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Step 2.2.1

Raise $5$ to the power of $2$ .

$25 + 2 (5) - 6$

Step 2.2.2

Multiply $2$ by $5$ .

$25 + 10 - 6$

Step 2.3

Simplify by adding and subtracting.

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Step 2.3.1

Add $25$ and $10$ .

$35 - 6$

Step 2.3.2

Subtract $6$ from $35$ .

$29$

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