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The range of ...

Question

The range of the function $f (x) = [{2 x + 3}]$ is
$([.]$ represents the greatest integer function and ${x}$ is the fractional part of $x)$

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Solution

Domain of $f$ is $R$ .
$0 \leq {2 x + 3} < 1$
$∴ [{2 x + 3}] = 0$

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