Given the function f of x is equal to negative 5 start absolute value x plus 1 end absolute value plus 3 , for what values of x is f of x is equal to negative 12 ?
Answer
A
x is equal to 2 , x is equal to 4
B
x is equal to negative 2 , x is equal to 4
C
x is equal to 2 , x is equal to negative 4
D
x is equal to negative 2 , x is equal to negative 4
Explanation
Set the function equal to −12: −5|x + 1| + 3 = −12. Subtract 3 and divide by −5 to get |x + 1| = 3, so x + 1 = 3 or x + 1 = −3. Thus x = 2 or x = −4, which is choice B.
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