Answer:
x ≤ -4 or x ≥ -1
interval
(-∞,-4] U [-1,∞)
Step-by-step explanation:
f(x) = √(x² + 5x + 4)
domain
√(x² + 5x + 4) ≥ 0 / ^2
x² + 5x + 4 ≥ 0
(x + 4)(x + 1) ≥ 0
x + 4 ≥ 0
x + 4 = 0
x = -4 Value
x + 4 < 0
x < - 4 Value
x + 4 > 0
x > -4 Not value
x + 1 = 0
x = -1 Value
x + 1 < 0
x < - 1 Not value
x + 1 > 0
x > -1 Value
x < - 4 or x = -4 or x > -1 or x = -1
x ≤ -4 or x ≥ -1
interval
(-∞,-4] U [-1,∞)
