Question

PLEASE HELP ITS TIMED!!!!!!

Answer 1

C. -1

Explanation:

• f(x) = x^2 - 3x - 4
• g(x) = | x +3 | -2

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• f(x) = g(x)

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