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

question 12

Multiple Choice

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 \(y = - \sqrt { 3 x ^ { 2 } - 4 }\)

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