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f = { ( 1 , 3 ) , ( 2 , 1 ) , ( 3 , 5 ) , ( 4 , 2 ) , ( 5 , 4 ) } g = { ( 1 , 4 ) , ( 2 , 3 ) , ( 3 , 5 ) , ( 4 , 1 ) , ( 5 , 2 ) } Tentukan : (b) ( g ∘ f )

 

Tentukan : (b)  

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S. Nur

Master Teacher

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Maka nilai :

begin mathsize 14px style straight f equals open curly brackets open parentheses 1 comma space 3 close parentheses comma space open parentheses 2 comma space 1 close parentheses comma space open parentheses 3 comma space 5 close parentheses comma space open parentheses 4 comma space 2 close parentheses comma space open parentheses 5 comma space 4 close parentheses close curly brackets straight g equals open curly brackets open parentheses 1 comma space 4 close parentheses comma space open parentheses 2 comma space 3 close parentheses comma space open parentheses 3 comma space 5 close parentheses comma space open parentheses 4 comma space 1 close parentheses comma space open parentheses 5 comma space 2 close parentheses close curly brackets end style 

Maka nilai begin mathsize 14px style left parenthesis straight g ring operator straight f right parenthesis end style :

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell space space space space space space space straight f space end cell rightwards arrow cell space straight g end cell row blank blank cell open parentheses 1 comma space 3 close parentheses rightwards arrow left parenthesis 3 comma space 5 right parenthesis end cell row cell open parentheses 2 comma space 1 close parentheses end cell rightwards arrow cell left parenthesis 1 comma space 4 right parenthesis end cell row cell open parentheses 3 comma space 5 close parentheses end cell rightwards arrow cell left parenthesis 5 comma space 2 right parenthesis end cell row cell open parentheses 4 comma space 2 close parentheses end cell rightwards arrow cell left parenthesis 2 comma space 3 right parenthesis end cell row cell open parentheses 5 comma space 4 close parentheses end cell rightwards arrow cell left parenthesis 4 comma space 1 right parenthesis end cell row blank blank blank row cell straight f ring operator straight g end cell equals cell open curly brackets open parentheses 1 comma space 5 close parentheses comma space open parentheses 2 comma space 4 close parentheses comma space open parentheses 3 comma space 2 close parentheses comma space open parentheses 4 comma space 3 close parentheses comma space open parentheses 5 comma space 1 close parentheses close curly brackets end cell end table end style 

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Misal fungsi f dan g dinyatakan dalam pasangan terurut: f = { ( 4 , 5 ) , ( 5 , 1 ) , ( 6 , − 1 ) , ( 7 , 3 ) } g = { ( − 1 , 7 ) , ( 3 , 4 ) , ( 1 , 5 ) , ( 5 , 6 ) } Tentukanlah: d. g ∘ f ( 6 ...

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