If f:R C is defined by f(x)=e^ 2ix for x R, then f is (where C denotes the set of all complex numbers)

JEE Main Mathematics question

If is defined by for , then is (where denotes the set of all complex numbers)

Answer: (D)

Write , so for every real . Onto: a complex number such as has modulus 2 and can never be an image,

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Question ID VK-007350