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

question 177

Short Answer

Suppose $g : \mathbf { R } \rightarrow \mathbf { R }$ where $g ( x ) = \left\lfloor \frac { x - 1 } { 2 } \right\rfloor$
(a) If $S = \{ x \mid 1 \leq x \leq 6 \}$
, find $g ( S )$ .
(b) If $T$ ={2} , find $g ^ { - 1 } ( T )$

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Definitions:

Instance Variables

Variables defined in a class for which each instantiated object of the class has its own copy.

Final Modifier

A keyword in Java indicating that a variable cannot be reassigned, a method cannot be overridden, or a class cannot be inherited.

Derived Class

In OOP, it is a class that extends another class, inheriting its methods and properties, allowing for polymorphism and code reuse.

Object Class

A template or blueprint from which objects are created in object-oriented programming.