QuestionCalculate $f(-9)$ for the function $f(x)=|x|-6$ .

Studdy Solution

STEP 1

Assumptions1. The function is $f(x)=|x|-6$ . We need to find the value of $f(-9)$

STEP 2

To find the value of $f(-9)$ , we need to substitute $-9$ for $x$ in the function $f(x)$ .
$f(-9)=|-9|-6$

STEP 3

The absolute value of $-9$ is $9$ , because the absolute value of a number is its distance from zero on the number line, regardless of direction. So, $|-9|=9$ .
$f(-9)=9-6$

STEP 4

Subtract $6$ from $9$ to find the value of $f(-9)$ .
$f(-9)=9-6=3$ So, $f(-9)=3$ .

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