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  4. The domain of the definition of the function f(x) = (3 /4-x2) + log10 (x3 -x) is :

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Q. The domain of the definition of the function $f\left(x\right) = \frac{3 }{4-x^{2}} + \log_{10} \left(x^{3} -x\right) $ is :

JEE MainJEE Main 2019Relations and Functions

Solution:

$ 4 - x^2 \ne 0 ; x^3 - x > 0 $
$\therefore \; D_f \in (-1 , 0) \cup (1,2) \cup (2, \infty)$

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