Given the function f of x is equal to 3 start absolute value x minus 2 end absolute value plus 6 , for what values of x is f of x is equal to 18 ?

Set the function equal to 18: 3|x − 2| + 6 = 18. Subtract 6 and divide by 3 to get |x − 2| = 4, so x − 2 is either 4 or −4. These give x = 6 or x = −2, matching the choice “x is equal to negative 2, x is equal to 6.”

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