Question

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

Answer 1

(-∞ , -6] ∪ [6 , +∞)

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 , +∞)