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Pertanyaan

Diketahui dan . Maka, nilai dari adalah ....

Diketahui begin mathsize 14px style straight f open parentheses 3 straight x minus 1 close parentheses equals 2 straight x plus 4 end style dan begin mathsize 14px style open parentheses straight f ring operator straight g close parentheses open parentheses straight x close parentheses equals negative 2 straight x plus 2 end style. Maka, nilai dari begin mathsize 14px style straight g open parentheses 6 close parentheses end style adalah ....

  1. begin mathsize 14px style 4 end style

  2. begin mathsize 14px style 0 end style

  3. begin mathsize 14px style negative 10 over 3 end style

  4. begin mathsize 14px style negative 7 end style

  5. begin mathsize 14px style negative 22 end style

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A. Rizky

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

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Pembahasan

Pertama, kita cari . Kemudian, perhatikan bahwa Sehingga

Pertama, kita cari undefined

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight f open parentheses 3 straight x minus 1 close parentheses end cell equals cell 2 straight x plus 4 end cell row blank equals cell 2 over 3 times 3 straight x minus 2 over 3 plus 14 over 3 end cell row blank equals cell 2 over 3 open parentheses 3 straight x minus 1 close parentheses plus 14 over 3 end cell row cell straight f open parentheses straight x close parentheses end cell equals cell 2 over 3 straight x plus 14 over 3 end cell end table end style 

Kemudian, perhatikan bahwa

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses straight f ring operator straight g close parentheses open parentheses straight x close parentheses end cell equals cell negative 2 straight x plus 2 end cell row cell straight f open parentheses straight g open parentheses straight x close parentheses close parentheses end cell equals cell negative 2 straight x plus 2 end cell row cell 2 over 3 straight g open parentheses straight x close parentheses plus 14 over 3 end cell equals cell negative 2 straight x plus 2 end cell row cell 2 over 3 straight g open parentheses straight x close parentheses end cell equals cell negative 2 straight x plus 2 minus 14 over 3 end cell row cell 2 over 3 straight g open parentheses straight x close parentheses end cell equals cell negative 2 straight x minus 8 over 3 end cell row cell straight g open parentheses straight x close parentheses end cell equals cell 3 over 2 open parentheses negative 2 straight x minus 8 over 3 close parentheses end cell row cell straight g open parentheses straight x close parentheses end cell equals cell negative 3 straight x minus 4 end cell end table end style 

Sehingga

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight g open parentheses 6 close parentheses end cell equals cell negative 3 open parentheses 6 close parentheses minus 4 end cell row blank equals cell negative 18 minus 4 end cell row blank equals cell negative 22 end cell end table end style 

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