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Find the domain of function f(x)=3/(sqrt...

Find the domain of function `f(x)=3/(sqrt(4-x^(2)))log(x^(3)-x)`

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To find the domain of the function \( f(x) = \frac{3}{\sqrt{4 - x^2}} \log(x^3 - x) \), we need to consider the restrictions imposed by both the logarithmic function and the square root function. ### Step 1: Find the domain of \( \log(x^3 - x) \) The logarithmic function is defined only for positive arguments. Therefore, we need to solve the inequality: \[ x^3 - x > 0 ...
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