f(x)= 9-x^2 . Find the domain of the function: - Vidyadip

MCQ

$\text{f}(\text{x})=\sqrt{9-\text{x}^2}$. Find the domain of the function:

A
(0, 3)
B
(0, 3)
C
(-3, 3)
D
(-3, 3)

✓

Answer

(-3, 3)

Solutuion:

We know radical cannot be negative.

So, $9-\text{x}^2,\geq 0$

$ (3 - \text{x}) (3 + \text{x}) ≥$

$\Rightarrow (\text{x} - 3) (\text{x} + 3) ≤ 0$

$ \Rightarrow \text{x} ∈ [-3,3].$

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