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

question 208

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 $f ^ { - 1 } ( T )$

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Definitions:

Benzene

A colorless, flammable liquid hydrocarbon with a distinct sweet smell, known for its carcinogenic properties and widespread use as a precursor in the manufacture of various chemicals.

Toluene

A colorless, water-insoluble liquid hydrocarbon with a sweet smell, used as an industrial solvent and in the production of benzene.

Stereogenic Center

An atom in a molecule, often carbon, that is connected to four different groups, giving rise to stereoisomers due to the spatial arrangement of these groups.