(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=tan−1(x3−1)ln(x2−4)? (a) (−∞,−2)∪(2,3)∪(3,∞) (b) (−∞,−2)∪(0,2)∪(2,∞) (c) (2,3)∪(3,∞) (d) (−∞,−2)∪(3,∞) (e) (−∞,2)∪(2,∞)
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 .