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Question
The domain of definition of \[f\left( x \right) = \sqrt{4x - x^2}\] is
Options
(a) R − [0, 4]
(b) R − (0, 4)
(c) (0, 4)
(d) [0, 4]
Solution
(d) [0, 4]
⇒ x(4 - x) ≥ 0
⇒ x(x -4) ≤ 0
⇒ x ∈ [0, 4]
Hence, domain (f )= [0, 4].
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