Question

Given the function f(x) = 2|x + 6| – 4, for what values of x is f(x) = 6?

Answer 1

hello : x = -1 or x = - 11

Explanation:

given : f(x) = 2|x + 6| – 4

solve now :

f(x) = 6

2|x + 6| – 4 = 6

add 4 : 2|x + 6| – 4 +4 = 6+4

2|x + 6| = 10

divid by 2 : |x + 6| =5

x+6 = 5 or x+6 = -5

x+6 - 6= 5 - 6 or x+6 - 6 = - 5 - 6

x = -1 or x = - 11