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Let the funciton f:R to R be defined by ...

Let the funciton `f:R to R` be defined by `f(x)=2x+sin x`. Then, f is

A

one-to-one and into

B

one-to-one but not onto

C

onto but not one-to-one

D

neither one-to-one nor onto

Text Solution

Verified by Experts

The correct Answer is:
A
Clearly, g(x)=2x is one-one and onto and it is a strictly increasing functions. Therefore, f(x)=2x+sin x both one-one and onto.
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