Suppose $f : \mathbf { R } \rightarrow \mathbf { R }$

Short Answer

Suppose $f : \mathbf { R } \rightarrow \mathbf { R }$ where $f ( x ) = \lfloor x / 2\rfloor$
(a) If $S = \{ x \mid 1 \leq x \leq 6 \}$ , find $f ( S )$
(b) If T={3,4,5} , find $f ^ { - 1 } ( T )$