Precalculus Examples

$f (x) = 3 x - 5$ ; find $f (x + 2)$

Step 1

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

$f (x + 2) = 3 (x + 2) - 5$

Step 2

Simplify $3 (x + 2) - 5$ .

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Step 2.1

Remove parentheses.

$3 (x + 2) - 5$

Step 2.2

Simplify each term.

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Step 2.2.1

Apply the distributive property.

$3 x + 3 \cdot 2 - 5$

Step 2.2.2

Multiply $3$ by $2$ .

$3 x + 6 - 5$

Step 2.3

Subtract $5$ from $6$ .

$3 x + 1$