Find Two Functions Defined Implicitly by the Given Relation $3 x ^ { 2 } - y ^ { 2 } = 4$

Find two functions defined implicitly by the given relation.
- $3 x ^ { 2 } - y ^ { 2 } = 4$

A) $y = \frac { x \sqrt { 3 } } { 2 }$ or $y = - \frac { x \sqrt { 3 } } { 2 }$
B) $y = \sqrt { 3 } x - \sqrt { 4 }$ or $y = - \sqrt { 3 } x + \sqrt { 4 }$
C) $y = \sqrt { 3 x ^ { 2 } - 4 }$ or $y = \sqrt { 3 x ^ { 2 } + 4 }$
D) $y = \sqrt { 3 x ^ { 2 } - 4 }$ or $y = - \sqrt { 3 x ^ { 2 } - 4 }$

Correct Answer:

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