Question

State the domain of each function using interval notation pls show ur work!!

Answer 1

Answer:

(-∞ , -6] ∪ [6 , +∞)

Step-by-step explanation:

Let D be the domain of f .

D = {x ∈ IR ; where  x² - 36 ≥ 0}

x² - 36 ≥ 0

⇔ x² ≥ 36  

⇔ x² ≥ 6²

⇔ √(x²) ≥ √(6²)

⇔ |x| ≥ 6

⇔ x ∈ (-∞ , -6] ∪ [6 , +∞)