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Pertanyaan

Diketahui begin mathsize 14px style f left parenthesis x right parenthesis equals 3 x plus 4 space text dan  end text g left parenthesis x right parenthesis equals 2 x squared minus 3 x plus 1 end style. Jika begin mathsize 14px style h left parenthesis x right parenthesis equals left parenthesis f left parenthesis x right parenthesis plus g left parenthesis x right parenthesis right parenthesis cross times f left parenthesis x right parenthesis end style, nilai begin mathsize 14px style h left parenthesis negative 1 right parenthesis equals... end style 

  1. begin mathsize 14px style 6 end style 

  2. begin mathsize 14px style 7 end style 

  3. undefined 

  4. size 14px 12 

  5. size 14px 14 

A. Damanhuri

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah B.

Pembahasan

Diketahui begin mathsize 14px style f open parentheses x close parentheses equals 3 x plus 4 comma space g open parentheses x close parentheses equals 2 x squared minus 3 x plus 1 end style, dan begin mathsize 14px style h open parentheses x close parentheses equals open parentheses f open parentheses x close parentheses plus g open parentheses x close parentheses close parentheses cross times f open parentheses x close parentheses end style, maka:

begin mathsize 14px style h open parentheses x close parentheses equals open parentheses f open parentheses x close parentheses plus g open parentheses x close parentheses close parentheses cross times f open parentheses x close parentheses h open parentheses x close parentheses equals open parentheses open parentheses 3 x plus 4 close parentheses plus open parentheses 2 x squared minus 3 x plus 1 close parentheses close parentheses cross times open parentheses 3 x plus 4 close parentheses h left parenthesis x right parenthesis equals left parenthesis 3 x plus 4 plus 2 x squared minus 3 x plus 1 right parenthesis cross times left parenthesis 3 x plus 4 right parenthesis h left parenthesis x right parenthesis equals left parenthesis 2 x squared plus 3 x minus 3 x plus 4 plus 1 right parenthesis cross times left parenthesis 3 x plus 4 right parenthesis h left parenthesis x right parenthesis equals left parenthesis 2 x squared plus 5 right parenthesis cross times left parenthesis 3 x plus 4 right parenthesis h left parenthesis x right parenthesis equals 2 x squared open parentheses 3 x plus 4 close parentheses plus 5 open parentheses 3 x plus 4 close parentheses h open parentheses x close parentheses equals 6 x cubed plus 8 x squared plus 15 x plus 20 end style 

Sehinggga:

begin mathsize 14px style h open parentheses x close parentheses equals 6 x cubed plus 8 x squared plus 15 x plus 20 h open parentheses negative 1 close parentheses equals 6 open parentheses negative 1 close parentheses cubed plus 8 open parentheses negative 1 close parentheses squared plus 15 open parentheses negative 1 close parentheses plus 20 h open parentheses negative 1 close parentheses equals 6 open parentheses negative 1 close parentheses plus 8 open parentheses 1 close parentheses plus 15 open parentheses negative 1 close parentheses plus 20 h open parentheses negative 1 close parentheses equals negative 6 plus 8 minus 15 plus 20 h open parentheses negative 1 close parentheses equals 7 end style 

Jadi, jawaban yang benar adalah B.

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