Let f : R R be a function. Define g : R R by g(x) = |f(x)| for all x. Then g is

JEE Advanced Mathematics question

Let be a function. Define by for all . Then is

Answer: (C)

(a) False: , so never takes negative values and cannot be onto . - (b) False: is one-to-one but has . - (c) True: gives ;

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Question ID VK-110513