Given the function f (x) = 6|x - 2| + 3, for what values of x is f (x) = 39?

Subtract 3 from both sides.

6|x - 2| = 36

Divide both sides by 6 to get the absolute value by itself.

|x - 2| = 6

Absolute value will turn negative numbers into a positive. Therefore, you can use the following equations to find the values of x that will fit this equation:

x - 2 = 6

x - 2 = - 6

Add 2 to both sides to get x by itself.

x = - 4

x = 8

The values of x where f (x) = 39 are x = - 4, and x = 8.