Suppose That $$g : A \rightarrow B \text { and } f : B \rightarrow C \text { where } A = B = C = \{ 1,2,3,4 \} , g =$$

question 196

Short Answer

suppose that $$g : A \rightarrow B \text { and } f : B \rightarrow C \text { where } A = B = C = \{ 1,2,3,4 \} , g =$$ $$\{ ( 1,4 ) , ( 2,1 ) , ( 3,1 ) , ( 4,2 ) \} \text {, and } f = \{ ( 1,3 ) , ( 2,2 ) , ( 3,4 ) , ( 4,2 ) \} \text {. }$$
- $$\text { Find } g \circ ( g \circ g ) \text {. }$$ $$\text { and } g \text { and } f \text { are defined by } g = \{ ( 1 , b ) , ( 2 , a ) , ( 3 , b ) , ( 4 , a ) \} \text { and } f = \{ ( a , 8 ) , ( b , 10 ) , ( c , 2 ) \} \text {. }$$

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Definitions:

Grapevine

An informal network within an organization where information, rumors, and gossip are spread.

Chain of Command

is a system in organizations where authority and responsibility are structured in a hierarchical manner, guiding who reports to whom.

Intellectual Stimulation

Encouraging the generation of new ideas and critical thinking among followers by challenging existing assumptions.

Pent-up Emotions

Strong feelings that have been suppressed or not expressed for a long time and may eventually be released in a powerful or explosive manner.