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

Solve the equation for x, where x is restricted to the given interval.
- $y = - \sec \frac { x } { 4 }$ , for $x$ in $[ 0,2 \pi ) \cup ( 2 \pi , 4 \pi ]$

A) $x = \frac { 1 } { 4 } \operatorname { arcsec } ( - y )$
B) $x = - \frac { 1 } { 4 } \operatorname { arcsec } y$
C) $x = - 4 \operatorname { arcsec } y$
D) $x = 4 \operatorname { arcsec } ( - y )$

Correct Answer:

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