Problem

Problem

For a real number xx , let [x][x] denote the greatest integer less than or equal to xx . Let f:R→Rf: R \rightarrow R be defined as f(x)=2x+[x]+sin⁡x⋅cos⁡xf(x) = 2x + [x] + \sin x \cdot \cos x then ff is (a) one-one but not onto (b) onto but not one-one (c) both one-one and onto (d) neither one-one nor onto

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