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Jika diketahui f(x)=4x4−2x3+5x−10 dan g(x)=x3−2x2−4x+12, tentukan f(x)+g(x)

Pertanyaan

Jika diketahui begin mathsize 14px style f left parenthesis x right parenthesis equals 4 x to the power of 4 minus 2 x cubed plus 5 x minus 10 end style dan begin mathsize 14px style g left parenthesis x right parenthesis equals x cubed minus 2 x squared minus 4 x plus 12 end style, tentukan begin mathsize 14px style f left parenthesis x right parenthesis plus g left parenthesis x right parenthesis end style    space 

L. Indah

Master Teacher

Mahasiswa/Alumni Universitas Siliwangi

Jawaban terverifikasi

Jawaban

nilai begin mathsize 14px style f left parenthesis x right parenthesis plus g left parenthesis x right parenthesis end style adalah begin mathsize 14px style 4 x to the power of 4 minus x cubed minus 2 x squared plus x plus 2 end style.

Pembahasan

Penjumlahan fungsi,didefinisikan sebagai 

  begin mathsize 14px style open parentheses f plus g close parentheses open parentheses x close parentheses equals f open parentheses x close parentheses plus g open parentheses x close parentheses end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell f open parentheses x close parentheses plus g open parentheses x close parentheses end cell equals cell 4 x to the power of 4 minus 2 x cubed plus 5 x minus 10 plus open parentheses x cubed minus 2 x squared minus 4 x plus 12 close parentheses end cell row cell f open parentheses x close parentheses plus g open parentheses x close parentheses end cell equals cell 4 x to the power of 4 minus 2 x cubed plus 5 x minus 10 plus x cubed minus 2 x squared minus 4 x plus 12 end cell row cell f open parentheses x close parentheses plus g open parentheses x close parentheses end cell equals cell 4 x to the power of 4 minus 2 x cubed plus x cubed minus 2 x squared plus 5 x minus 4 x minus 10 plus 12 end cell row cell f open parentheses x close parentheses plus g open parentheses x close parentheses end cell equals cell 4 x to the power of 4 minus x cubed minus 2 x squared plus x plus 2 end cell row blank blank blank row blank blank blank row blank blank blank end table end style  

Dengan demikian, nilai begin mathsize 14px style f left parenthesis x right parenthesis plus g left parenthesis x right parenthesis end style adalah begin mathsize 14px style 4 x to the power of 4 minus x cubed minus 2 x squared plus x plus 2 end style.

64

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Tentukan rumus dari f+g, f−g, g−f dan f×g untuk f dan g pada R dengan ketentuan sebagai berikut: d. f(x)=(x−2) dan g(x)=2x−4

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Jawaban terverifikasi

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