Justify why the function is bounded and state an interval that contains all of its…

MATHEMATICS · Subjective · AP · AP Precalculus · Trigonometric and Polar Functions · Trigonometric and Polar Functions

Problem

Justify why the function

g(x)= \tan^{-1}\bigl(\frac{1}{2}\tan(5x)\bigr)

is bounded and state an interval that contains all of its possible values.