Range of Tricky Tangent Function

Geometry Level 4

Find the range of the function

\[ \large f(x) = \dfrac{1 + \tan x}{1 - \tan x}.\]

\[(-\infty , \infty)\] \[[0 , \infty)\] \[(-\infty , -1]\] \[(-\infty , 0 ] \cup [0, \infty)\] \[(-\infty , -1) \cup (-1, \infty)\] None of these \[(-\infty , 1 ] \cup [1, \infty)\] \[(-\infty , 0]\]

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