Solve the Equation for X, Where X Is Restricted to the Given

Multiple Choice

Solve the equation for x, where x is restricted to the given interval.
- $$y = 3 \tan 2 x - 1 \text {, for } x \text { in } \left( - \frac { \pi } { 4 } , \frac { \pi } { 4 } \right)$$

A) $x = 2 \arctan ( 3 y + 3 )$
B) $x = \frac { 1 } { 2 } \arctan \frac { y + 1 } { 3 }$
C) $x = \frac { 1 } { 2 } \arctan ( 3 y + 3 )$
D) $x = 2 \arctan \frac { y + 1 } { 3 }$