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Diketahui dan . Jika , maka nilai k adalah ...

Diketahui begin mathsize 14px style straight g open parentheses straight x close parentheses equals 2 straight x squared minus 4 straight x plus 10 end style dan begin mathsize 14px style straight f open parentheses straight x close parentheses equals negative straight x plus 2 end style. Jika begin mathsize 14px style open parentheses straight f ring operator straight g close parentheses open parentheses negative 1 close parentheses equals 4 straight k plus 2 end style, maka nilai k adalah ...

  1. 4

  2. begin mathsize 14px style 7 over 2 end style 

  3. 2

  4. begin mathsize 14px style negative 7 over 2 end style 

  5. -4

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Pembahasan

Pertama, kita cari nilai . Maka

Pertama, kita cari nilai begin mathsize 14px style straight g open parentheses negative 1 close parentheses end style.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight g open parentheses negative 1 close parentheses end cell equals cell 2 open parentheses negative 1 close parentheses squared minus 4 open parentheses negative 1 close parentheses plus 10 end cell row blank equals cell 2 plus 4 plus 10 end cell row blank equals 16 end table end style

Maka

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 negative 1 close parentheses end cell equals cell 4 straight k plus 2 end cell row cell straight f open parentheses straight g open parentheses negative 1 close parentheses close parentheses end cell equals cell 4 straight k plus 2 end cell row cell straight f open parentheses 16 close parentheses end cell equals cell 4 straight k plus 2 end cell row cell negative open parentheses 16 close parentheses plus 2 end cell equals cell 4 straight k plus 2 end cell row cell negative 16 plus 2 minus 2 end cell equals cell 4 straight k end cell row cell negative 16 end cell equals cell 4 straight k end cell row straight k equals cell negative 16 over 4 end cell row straight k equals cell negative 4 end cell end table end style 

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