Given the Function Tan X with Domain $\left( - \frac { \pi } { 2 } , \frac { \pi } { 2 } \right)$

Given the function tan x with domain $\left( - \frac { \pi } { 2 } , \frac { \pi } { 2 } \right)$ find the domain of its inverse.

A) $\left[ - \frac { \sqrt { 3 } } { 2 } , \frac { \sqrt { 3 } } { 2 } \right]$
B) [0, $\infty$ )
C) [ $- \pi , \pi$ ]
D) [ $- 1,1$ ]
E) $\left[ - \frac { \pi } { 2 } , \frac { \pi } { 2 } \right]$
F) $\left[ - \frac { 1 } { 2 } , \frac { 1 } { 2 } \right]$
G) ( $- \infty , \infty )$
H) $\left[ - \frac { 1 } { \sqrt { 2 } } , \frac { 1 } { \sqrt { 2 } } \right]$

Correct Answer:

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