Precalculus Examples

Given $f (x) = 6 x + 2$ ; find $f (x + 3)$

Step 1

Replace the variable $x$ with $x + 3$ in the expression.

$f (x + 3) = 6 (x + 3) + 2$

Step 2

Simplify $6 (x + 3) + 2$ .

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Step 2.1

Remove parentheses.

$6 (x + 3) + 2$

Step 2.2

Simplify each term.

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Step 2.2.1

Apply the distributive property.

$6 x + 6 \cdot 3 + 2$

Step 2.2.2

Multiply $6$ by $3$ .

$6 x + 18 + 2$

Step 2.3

Add $18$ and $2$ .

$6 x + 20$