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Pertanyaan

Jika , maka nilai k yang memenuhi adalah ....

Jika begin mathsize 14px style straight f left parenthesis straight x right parenthesis equals 1 minus straight x comma space straight g left parenthesis straight x right parenthesis equals 2 straight x minus 1 comma space dan space straight h open parentheses straight x close parentheses equals straight x plus 2 space dengan space straight x element of straight real numbers end style , maka nilai k yang memenuhi begin mathsize 14px style open parentheses straight g ring operator straight f ring operator straight h close parentheses open parentheses straight k close parentheses equals open parentheses straight f ring operator straight h ring operator straight g close parentheses open parentheses 2 straight k close parentheses end style adalah ....

  1. begin mathsize 14px style 3 over 2 end style 

     

  2. begin mathsize 14px style 2 over 3 end style 

  3. begin mathsize 14px style 0 end style 

  4. begin mathsize 14px style negative 2 over 3 end style 

  5. begin mathsize 14px style negative 3 over 2 end style 

     

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I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalahA.

jawaban yang tepat adalah A.

Pembahasan

Pertama, kita cari . Perhatikan bahwa Jadi, jawaban yang tepat adalahA.

Pertama, kita cari begin mathsize 14px style open parentheses straight f ring operator straight h close parentheses open parentheses straight x close parentheses end style .

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses straight f ring operator straight h close parentheses open parentheses straight x close parentheses end cell equals cell straight f open parentheses straight h open parentheses straight x close parentheses close parentheses end cell row blank equals cell straight f open parentheses straight x plus 2 close parentheses end cell row blank equals cell 1 minus open parentheses straight x plus 2 close parentheses end cell row blank equals cell 1 minus straight x minus 2 end cell row blank equals cell negative 1 minus straight x end cell end table end style 

Perhatikan bahwa

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses straight g ring operator straight f ring operator straight h close parentheses open parentheses straight k close parentheses end cell equals cell open parentheses straight f ring operator straight h ring operator straight g close parentheses open parentheses 2 straight k close parentheses end cell row cell open parentheses straight g ring operator open parentheses straight f ring operator straight h close parentheses close parentheses open parentheses straight k close parentheses end cell equals cell open parentheses open parentheses straight f ring operator straight h close parentheses ring operator straight g close parentheses open parentheses 2 straight k close parentheses end cell row cell straight g open parentheses open parentheses straight f ring operator straight h close parentheses open parentheses straight k close parentheses close parentheses end cell equals cell open parentheses straight f ring operator straight h close parentheses open parentheses straight g open parentheses 2 straight k close parentheses close parentheses end cell row cell straight g open parentheses negative 1 minus straight k close parentheses end cell equals cell open parentheses straight f ring operator straight h close parentheses open parentheses 2 open parentheses 2 straight k close parentheses minus 1 close parentheses end cell row cell straight g open parentheses negative 1 minus straight k close parentheses end cell equals cell open parentheses straight f ring operator straight h close parentheses open parentheses 4 straight k minus 1 close parentheses end cell row cell 2 open parentheses negative 1 minus straight k close parentheses minus 1 end cell equals cell negative 1 minus open parentheses 4 straight k minus 1 close parentheses end cell row cell negative 2 minus 2 straight k minus 1 end cell equals cell negative 1 minus 4 straight k plus 1 end cell row cell negative 2 straight k minus 3 end cell equals cell negative 4 straight k end cell row cell negative 2 straight k plus 4 straight k end cell equals 3 row cell 2 straight k end cell equals 3 row straight k equals cell 3 over 2 end cell end table end style 

Jadi, jawaban yang tepat adalah A.

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