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Diketahui fungsi  dan fungsi . Pasangan berurutan dari komposisi  adalah ....

Pertanyaan

Diketahui fungsi begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank f end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell left curly bracket left parenthesis 1 comma space 1 right parenthesis comma space left parenthesis 2 comma space 3 right parenthesis comma space left parenthesis 3 comma space 5 right parenthesis comma space left parenthesis 5 comma space 7 right parenthesis right curly bracket end cell end table end style dan fungsi begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank g end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell left curly bracket left parenthesis 1 comma space 3 right parenthesis comma space left parenthesis 3 comma space 5 right parenthesis comma space left parenthesis 5 comma space 7 right parenthesis right curly bracket end cell end table end style. Pasangan berurutan dari komposisi begin mathsize 14px style open parentheses f ring operator g close parentheses end style adalah ....

  1. begin mathsize 14px style open curly brackets left parenthesis 1 comma space 5 right parenthesis comma space left parenthesis 3 comma space 5 right parenthesis close curly brackets end style 

  2. begin mathsize 14px style left curly bracket left parenthesis 1 comma space 5 right parenthesis comma space left parenthesis 3 comma space 7 right parenthesis right curly bracket end style 

  3. begin mathsize 14px style left curly bracket left parenthesis 1 comma space 3 right parenthesis comma space left parenthesis 3 comma space 7 right parenthesis right curly bracket end style 

  4. begin mathsize 14px style left curly bracket left parenthesis 1 comma space 5 right parenthesis comma space left parenthesis 3 comma space 7 right parenthesis comma space left parenthesis 7 comma space 4 right parenthesis right curly bracket end style 

  5. begin mathsize 14px style left curly bracket left parenthesis 1 comma space 5 right parenthesis comma space left parenthesis 3 comma space 7 right parenthesis comma space left parenthesis 7 comma space 9 right parenthesis right curly bracket end style 

Pembahasan Soal:

Diketahui:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row f equals cell open curly brackets left parenthesis 1 comma space 1 right parenthesis comma space left parenthesis 2 comma space 3 right parenthesis comma space left parenthesis 3 comma space 5 right parenthesis comma space left parenthesis 5 comma space 7 right parenthesis close curly brackets end cell row g equals cell open curly brackets left parenthesis 1 comma space 3 right parenthesis comma space left parenthesis 3 comma space 5 right parenthesis comma space left parenthesis 5 comma space 7 right parenthesis close curly brackets end cell end table end style 

Sehingga dapat ditentukan pasangan berurutan komposisi undefined sebagai berikut.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis end cell equals cell f left parenthesis g open parentheses x close parentheses right parenthesis end cell row cell Untuk space x end cell equals cell 1 rightwards arrow f open parentheses g open parentheses 1 close parentheses close parentheses equals f open parentheses 3 close parentheses equals 5 rightwards arrow left parenthesis 1 comma space 5 right parenthesis end cell row cell Untuk space x end cell equals cell 3 rightwards arrow f open parentheses g open parentheses 3 close parentheses close parentheses equals f open parentheses 5 close parentheses equals 7 rightwards arrow left parenthesis 3 comma space 7 right parenthesis end cell row cell Untuk space x end cell equals cell 5 rightwards arrow f open parentheses g open parentheses 5 close parentheses close parentheses equals f open parentheses 7 close parentheses equals tidak space terdefinisi end cell end table end style

Sehingga diperoleh pasangan berurutan fungsi komposisi tersebut yaitu begin mathsize 14px style open curly brackets left parenthesis 1 comma space 5 right parenthesis comma space left parenthesis 3 comma space 7 right parenthesis close curly brackets end style

Jadi, jawaban yang benar adalah B.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 03 April 2021

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