Finite Math Examples

$f (x) = \frac{1}{4} \cdot (3 x - 1)$ , $x = 3$

Step 1

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

$f (3) = \frac{1}{4} \cdot (3 (3) - 1)$

Step 2

Simplify the result.

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Step 2.1

Simplify the expression.

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Step 2.1.1

Multiply $3$ by $3$ .

$f (3) = \frac{1}{4} \cdot (9 - 1)$

Step 2.1.2

Subtract $1$ from $9$ .

$f (3) = \frac{1}{4} \cdot 8$

Step 2.2

Cancel the common factor of $4$ .

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Step 2.2.1

Factor $4$ out of $8$ .

$f (3) = \frac{1}{4} \cdot (4 (2))$

Step 2.2.2

Cancel the common factor.

$f (3) = \frac{1}{4} \cdot (4 \cdot 2)$

Step 2.2.3

Rewrite the expression.

$f (3) = 2$

Step 2.3

The final answer is $2$ .

$2$

Step 3