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Jika dan , maka nilai adalah ....

Pertanyaan

Jika begin mathsize 14px style open parentheses straight f ring operator straight g close parentheses open parentheses straight x close parentheses equals fraction numerator straight x plus 3 over denominator straight x minus 4 end fraction comma straight x not equal to 4 end style dan begin mathsize 14px style straight f open parentheses straight x close parentheses equals 4 straight x minus 2 end style, maka nilai begin mathsize 14px style straight g open parentheses 2 close parentheses end style adalah ....

  1. begin mathsize 14px style 42 end style

  2. begin mathsize 14px style 9 over 2 end style

  3. begin mathsize 14px style negative 1 over 8 end style

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

  5. begin mathsize 14px style negative 12 end style

A. Rizky

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Pembahasan

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 fraction numerator straight x plus 3 over denominator straight x minus 4 end fraction end cell row cell straight f open parentheses straight g open parentheses straight x close parentheses close parentheses end cell equals cell fraction numerator straight x plus 3 over denominator straight x minus 4 end fraction end cell row cell 4 straight g open parentheses straight x close parentheses minus 2 end cell equals cell fraction numerator straight x plus 3 over denominator straight x minus 4 end fraction end cell row cell 4 straight g open parentheses straight x close parentheses end cell equals cell fraction numerator straight x plus 3 over denominator straight x minus 4 end fraction plus 2 end cell row cell 4 straight g open parentheses straight x close parentheses end cell equals cell fraction numerator straight x plus 3 plus 2 open parentheses straight x minus 4 close parentheses over denominator straight x minus 4 end fraction end cell row cell 4 straight g open parentheses straight x close parentheses end cell equals cell fraction numerator straight x plus 3 plus 2 straight x minus 8 over denominator straight x minus 4 end fraction end cell row cell 4 straight g open parentheses straight x close parentheses end cell equals cell fraction numerator 3 straight x minus 5 over denominator straight x minus 4 end fraction end cell row cell straight g open parentheses straight x close parentheses end cell equals cell fraction numerator 3 straight x minus 5 over denominator 4 open parentheses straight x minus 4 close parentheses end fraction end cell row cell straight g open parentheses straight x close parentheses end cell equals cell fraction numerator 3 straight x minus 5 over denominator 4 straight x minus 16 end fraction end cell end table end style  

Jadi 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight g open parentheses 2 close parentheses end cell equals cell fraction numerator 3 open parentheses 2 close parentheses minus 5 over denominator 4 open parentheses 2 close parentheses minus 16 end fraction end cell row blank equals cell fraction numerator 6 minus 5 over denominator 8 minus 16 end fraction end cell row blank equals cell fraction numerator 1 over denominator negative 8 end fraction end cell row blank equals cell negative 1 over 8 end cell end table end style

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