Given the function f(x) = 4|x – 5| + 3, for what values of x is f(x) = 15?

Set the function equal to 15: 4|x − 5| + 3 = 15. Subtract 3 and divide by 4 to get |x − 5| = 3, so x − 5 is either 3 or −3. Therefore x = 8 or x = 2, matching choice A, “x = 2, x = 8.”

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