Answer:
C. -1
Step-by-step explanation:
- f(x) = x^2 - 3x - 4
- g(x) = | x +3 | -2
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1. For x+3 ≥ 0 ⇒ x ≥ -3, g(x) = x + 3 - 2
- x^2 - 3x - 4 = x + 3 - 2
- x^2 - 4x - 5 = 0
- (x- 5)(x + 1) = 0
- x = 5, x = -1
- x = -1 is one of the options
2. For x + 3 < 0 ⇒ x < -3, g(x) = - (x +3) - 2
- x^2 - 3x - 4 = -(x + 3) - 2
- x^2 - 3x -2 = -x - 3
- x^2 -2x + 1 = 0
- (x - 1)^2 = 0
- x = 1 > -3, so no solutions
