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(Solved): What is the domain of the function y=tan1(x31)ln(x24)? (a) (,2)(2,3)( ...




What is the domain of the function
\[
y=\frac{\ln \left(x^{2}-4\right)}{\tan ^{-1}\left(\frac{3}{x}-1\right)} ?
\]
(a) \( (-\
What is the domain of the function (a) (b) (c) (d) (e)


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In this case, there are two main components in the function: the natural logarithm (ln) and the inverse tangent   . Both of these functions have specific domains where they are defined.

Natural logarithm (ln): The natural logarithm is defined only for positive real numbers. In the given function, the argument of the logarithm is   , ensure that    is greater than zero.

   can be factored as   .
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