Precalculus Examples

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

Step 1

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

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

Step 2

Simplify the result.

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Step 2.1

Simplify each term.

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Step 2.1.1

Multiply $2$ by $5$ .

$f (5) = 10 + | 3 - (5) |$

Step 2.1.2

Multiply $- 1$ by $5$ .

$f (5) = 10 + | 3 - 5 |$

Step 2.1.3

Subtract $5$ from $3$ .

$f (5) = 10 + | - 2 |$

Step 2.1.4

The absolute value is the distance between a number and zero. The distance between $- 2$ and $0$ is $2$ .

$f (5) = 10 + 2$

Step 2.2

Add $10$ and $2$ .

$f (5) = 12$

Step 2.3

The final answer is $12$ .

$12$

Step 3