Given the function f(x) = 3|x – 2| + 6, for what values of x is f(x) = 18?
a. x = –2, x = –8
b. x = –2, x = –6
c. x = –2, x = 6
d. x = –2, x = 8

 The correct option is

(C) x = -2, x = 6.

Step-by-step explanation:  We are given the following function :

We are to find the values of x for which f(x) = 18.

From equation (i), if f(x) = 18, we get

Thus, the required solution is x = -2 and x = 6.

Option (C) is CORRECT.