Diketahui dan . Maka ....

Pertanyaan

Diketahui begin mathsize 14px style open parentheses straight f ring operator straight g close parentheses open parentheses straight x close parentheses equals 2 straight x squared minus 3 straight x plus 5 end style dan begin mathsize 14px style straight g open parentheses straight x close parentheses equals straight x plus 4 end style. Maka begin mathsize 14px style straight f open parentheses straight x close parentheses equals end style ....

  1. begin mathsize 14px style straight x squared minus 3 straight x plus 32 end style

  2. begin mathsize 14px style straight x squared minus 19 straight x plus 49 end style 

  3. begin mathsize 14px style 2 straight x squared minus 3 straight x plus 49 end style

  4. begin mathsize 14px style 2 straight x squared minus 19 straight x plus 32 end style 

  5. begin mathsize 14px style 2 straight x squared minus 19 straight x plus 49 end style 

I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Jawaban

 begin mathsize 14px style straight f left parenthesis straight x right parenthesis equals 2 straight x squared minus 19 straight x plus 49 end style. 

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 2 straight x squared minus 3 straight x plus 5 end cell row cell straight f open parentheses straight g open parentheses straight x close parentheses close parentheses end cell equals cell 2 straight x squared minus 3 straight x plus 5 end cell row cell straight f open parentheses straight x plus 4 close parentheses end cell equals cell 2 straight x squared minus 3 straight x plus 5 end cell end table end style 

Untuk mencari begin mathsize 14px style straight f open parentheses straight x close parentheses end style, kita misalkan begin mathsize 14px style straight x plus 4 equals straight a rightwards arrow straight x equals straight a minus 4 end style, sehingga

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight f left parenthesis straight x plus 4 right parenthesis end cell equals cell 2 straight x blank squared minus 3 straight x plus 5 end cell row cell straight f left parenthesis straight a right parenthesis end cell equals cell 2 left parenthesis straight a minus 4 right parenthesis blank squared minus 3 left parenthesis straight a minus 4 right parenthesis plus 5 end cell row cell straight f left parenthesis straight a right parenthesis end cell equals cell 2 left parenthesis straight a squared minus 8 straight a plus 16 right parenthesis minus 3 straight a plus 12 plus 5 end cell row cell straight f left parenthesis straight a right parenthesis end cell equals cell 2 straight a blank squared minus 16 straight a plus 32 minus 3 straight a plus 17 end cell row cell straight f left parenthesis straight a right parenthesis end cell equals cell 2 straight a blank squared minus 19 straight a plus 49 end cell end table end style 

Jadi, begin mathsize 14px style straight f left parenthesis straight x right parenthesis equals 2 straight x squared minus 19 straight x plus 49 end style. 

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