If the real-valued function f(x) = px + x is a bijective function then the set of possible values of p R is

JEE Advanced Mathematics question

If the real-valued function is a bijective function then the set of possible values of is

Answer: (D)

is continuous on . A continuous function on is one-one exactly when it is strictly monotonic. , and takes every value in .

- **:** . It equals only at isolated points (when , at ), so is

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Question ID VK-109151