TRUE OR FALSE: let f(x)=tan^-1x. then the domain of f(x) is all real numbers and the range is [0, pi]

Answer: The given answer is FALSEStep-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 numbersInterval 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