Given the function f of x is equal to 2 start absolute value x plus 6 end absolute value minus 4 , for what values of x is f of x is equal to 6 ?
Answer
A
x is equal to 26 , x is equal to negative 14
B
x is equal to negative 1 , x is equal to negative 11
C
x is equal to negative 1 , x is equal to 11
D
x is equal to 14 , x is equal to negative 26
Explanation
Set the function equal to 6: 2|x + 6| − 4 = 6. Add 4 and divide by 2 to get |x + 6| = 5, so x + 6 is either 5 or −5. Therefore x = −1 or x = −11, which matches choice B.
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