The domain of the definition of the function f(x)= 1 4-x^2 + _ 10 (x^3-x) is

MHT CET 2022 Mathematics question

The domain of the definition of the function is

(A)
(B)Correct
(C)
(D)

Answer: (B)

Solution

Two conditions are needed. (i) , so . (ii) The logarithm needs , i.e. . Sign analysis with the roots : the expression is positive on and on . Removing (only lies in these

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Question ID VK-094326