Answer:
The given answer is FALSE
Step-by-step explanation:
[tex]\text{The function is given to be }\tan^{-1}x[/tex]
Domain : The domain of a function is the set of values for which the function's value is real and defined.
So, The domain of the given function will be all real numbers
Interval Notation : -∞ < x < +∞
Range : The set of values of the dependent variable for which the function is defined.
The basic arctan function is only defined for :
[tex](\frac{-\pi}{2},\frac{\pi}{2})[/tex]
So, The range of the given function is :
[tex]\bf (\frac{-\pi}{2},\frac{\pi}{2})[/tex]
Therefore, The given answer is FALSE
