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Pertanyaan

Diketahui begin mathsize 14px style left parenthesis f minus g right parenthesis end style begin mathsize 14px style left parenthesis x right parenthesis end style size 14px equals size 14px minus size 14px 4 size 14px x to the power of size 14px 2 size 14px minus size 14px 19 size 14px x size 14px minus size 14px 31 dan size 14px g begin mathsize 14px style left parenthesis negative 7 right parenthesis end style size 14px equals size 14px minus size 14px 29. Nilai begin mathsize 14px style f left parenthesis negative 7 right parenthesis end style adalah ....

  1. begin mathsize 14px style 327 end style

  2. begin mathsize 14px style 123 end style

  3. begin mathsize 14px style 65 end style

  4. begin mathsize 14px style negative 65 end style

  5. begin mathsize 14px style negative 123 end style

I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Jawaban

jawabannya adalah E.    

Pembahasan

Ingat kembali bahwa begin mathsize 14px style left parenthesis f minus g right parenthesis left parenthesis x right parenthesis equals f left parenthesis x right parenthesis minus g left parenthesis x right parenthesis end style. Jika size 14px x size 14px equals size 14px minus size 14px 7, maka didapat

begin mathsize 14px style left parenthesis f minus g right parenthesis left parenthesis negative 7 right parenthesis equals f left parenthesis negative 7 right parenthesis minus g left parenthesis negative 7 right parenthesis end style

Maka pertama, akan  dicari nilai begin mathsize 14px style left parenthesis f minus g right parenthesis left parenthesis negative 7 right parenthesis end style. Perhatikan bahwa 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell left parenthesis f minus g right parenthesis left parenthesis negative 7 right parenthesis end cell equals cell negative 4 times left parenthesis negative 7 right parenthesis squared minus 19 times left parenthesis negative 7 right parenthesis minus 31 end cell row blank equals cell negative 4 times left parenthesis 49 right parenthesis squared plus 133 minus 31 end cell row blank equals cell negative 196 plus 102 end cell row blank equals cell negative 94 end cell end table end style

Maka didapat

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses f minus g close parentheses open parentheses negative 7 close parentheses end cell equals cell f open parentheses negative 7 close parentheses minus g open parentheses negative 7 close parentheses end cell row cell negative 94 end cell equals cell f open parentheses negative 7 close parentheses minus open parentheses negative 29 close parentheses end cell row cell f open parentheses negative 7 close parentheses end cell equals cell negative 94 minus 29 end cell row cell f open parentheses negative 7 close parentheses end cell equals cell negative 123 end cell end table end style

Jadi, jawabannya adalah E.    

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