Answer:
-1 and -11
Step-by-step explanation:
f(x) = 2|x + 6| – 4
Let f(x) = 6 and solve for x.
2|x + 6| - 4 = 6
Add 4 to both sides.
2|x + 6| = 10
Divide both sides by 2.
|x + 6| = 5
To deal with the absolute value in the equation we follow the rule below:
To solve an absolute value equation of the form |X| = k, where X is an expression in x, and k is a non-negative number, we solve the compound equation "X = k or X = -k".
x + 6 = 5 or x + 6 = -5
Subtract 6 from both sides in both equations.
x = -1 or x = -11
