Question

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

Answer 1

Correct Answer - 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.