Find the domain of the function $$f(x)=x$$−$$3(x+3)x2$$−$$4$$

Correct option is 3−∞,-3∪−3,−2∪2,∞

Questions

Find the domain of the function $f (x) = \frac{x - 3}{(x + 3) \sqrt{x^{2} - 4}}$

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-∞,-2∪2,∞

−∞,-3∪2,∞

−∞,-3∪−3,−2∪2,∞

None of these

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detailed solution

Correct option is C

f(x)=x−3(x+3)x2−4 We must have x2−4>0 and x≠−3 Therefore, domain is x∈(−∞,−3)∪(−3,−2)∪(2,∞) .

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Find the domain of the function f(x)=x−3(x+3)x2−4

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Find the domain of the function $f (x) = \frac{x - 3}{(x + 3) \sqrt{x^{2} - 4}}$