Precalculus Examples

$h (t) = | t + 2 | + 3$ ; find $h (6)$

Step 1

Replace the variable $t$ with $6$ in the expression.

$h (6) = | (6) + 2 | + 3$

Step 2

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

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Step 2.1

Remove parentheses.

$| (6) + 2 | + 3$

Step 2.2

Simplify each term.

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Step 2.2.1

Add $6$ and $2$ .

$| 8 | + 3$

Step 2.2.2

The absolute value is the distance between a number and zero. The distance between $0$ and $8$ is $8$ .

$8 + 3$

Step 2.3

Add $8$ and $3$ .

$11$