Substitute x with 0: Substitute the value of x with 0 in the function f(x). f(x) = 2|x+3|+2 f(0) = 2|0+3|+2Simplify expression inside absolute value: Simplify the expression inside the absolute value. f(0) = 2|3|+2Calculate absolute value of 3: Calculate the absolute value of 3. |3| = 3Multiply absolute value by 2: Multiply the absolute value by 2 and then add 2. f(0) = 2 * 3 + 2 f(0) = 6 + 2Add 6 and 2: Add 6 and 2 to get the final result. f(0) = 8

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

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Math Problems

Grade 8

Evaluate absolute value expressions

Full solution

f(x)=2|x+3|+2

Substitute $x$ with $0$ : Substitute the value of $x$ with $0$ in the function $f(x)$ .
$f(x) = 2|x+3|+2$
$f(0) = 2|0+3|+2$
Simplify expression inside absolute value: Simplify the expression inside the absolute value. $f(0) = 2|3|+2$
Calculate absolute value of $3$ : Calculate the absolute value of $3$ . $\newline$ $|3| = 3$
Multiply absolute value by $2$ : Multiply the absolute value by $2$ and then add $2$ . $\newline$ $f(0) = 2 \times 3 + 2$ $\newline$ $f(0) = 6 + 2$
Add $6$ and $2$ : Add $6$ and $2$ to get the final result. $\newline$ $f(0) = 8$