Question

Given the function f(x) = -5|x + 1|+ 3, for what values of x is f(x) = -12?

x = -2, x = -4
x = -2, x = 4
x = 2, x = -4
x = 2, x = 4

Answer 1

the answer is c

Explanation:

Answer 2

x =2 x = -4

Explanation:

-5|x + 1|+ 3 = -12

Subtract 3 from each side

-5|x + 1|+ 3-3 = -12 -3

-5|x + 1| = -15

Divide each side by -5

-5/-5|x + 1| = -15/-5

|x + 1| = 3

Since this is an absolute value, we have two solutions one positive and one negative

x+1 = 3 x+1 = -3

Subtract 1 from each side

x+1-1 = 3-1 x+1-1 = -3-1

x =2 x = -4