Question

Let 'D' be the domain of the real value function on Ir defined by f(x) = `sqrt(25 - x^2)` the D is :-

Options

• {5, 0}

• [5, – 3]

• [– 5, 5]

• {|0|}

Answer 1

[– 5, 5]

Explanation:

`25 - x^2 ≥ 0`

`x^2 - 25 ≤ 0` ⇒ `-5 ≤ x ≤ 5`

⇒ x ∈ [– 5, 5]