Trigonometry Examples

$f (- 4) = | x - 6 | + 2$

Step 1

Replace the variable $x$ with $- 4$ in the expression.

$f (- 4) = | (- 4) - 6 | + 2$

Step 2

Simplify the result.

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Step 2.1

Simplify each term.

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Step 2.1.1

Subtract $6$ from $- 4$ .

$f (- 4) = | - 10 | + 2$

Step 2.1.2

The absolute value is the distance between a number and zero. The distance between $- 10$ and $0$ is $10$ .

$f (- 4) = 10 + 2$

Step 2.2

Add $10$ and $2$ .

$f (- 4) = 12$

Step 2.3

The final answer is $12$ .

$12$

Step 3