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f(x) = \(\sqrt{9-x^2}\). Find the domain of the function.(a) (0,3)(b) [0,3](c) [-3,3](d) (-3,3)This question was posed to me by my college professor while I was bunking the class.My query is from Functions topic in section Relations and Functions of Mathematics – Class 11

Answer»

Right OPTION is (C) [-3,3]

To explain: We KNOW radical cannot be negative. So, 9-x,^2 ≥ 0

(3-x) (3+x) ≥ 0 => (x-3) (x+3) ≤ 0 => x∈[-3,3].



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