Algebra Examples

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

Step 1

Simplify $f (x)$ .

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Step 1.1

Apply the distributive property.

$f (x) = 3 x + 3 \cdot 2$

Step 1.2

Multiply $3$ by $2$ .

$f (x) = 3 x + 6$

Step 2

The word linear is used for a straight line. A linear function is a function of a straight line, which means that the degree of a linear function must be $0$ or $1$ . In this case, The degree of $f (x) = 3 x + 6$ is $1$ , which makes the function a linear function.

$f (x) = 3 x + 6$ is a linear function