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Diberikan  f(x)=(2x+1)(x−1) dan  g(x)=x2+3x−5. Rumus fungsi (f+g)(x) adalah ....

Pertanyaan

Diberikan  size 14px f size 14px left parenthesis size 14px x size 14px right parenthesis size 14px equals size 14px left parenthesis size 14px 2 size 14px x size 14px plus size 14px 1 size 14px right parenthesis size 14px left parenthesis size 14px x size 14px minus size 14px 1 size 14px right parenthesis dan  begin mathsize 14px style g left parenthesis x right parenthesis equals x squared plus 3 x minus 5 end style. Rumus fungsi begin mathsize 14px style left parenthesis f plus g right parenthesis left parenthesis x right parenthesis end style adalah ....

  1. begin mathsize 14px style 3 x squared plus 2 x plus 4 end style

  2. begin mathsize 14px style 3 x squared plus 2 x minus 6 end style

  3. begin mathsize 14px style 3 x squared minus 2 x plus 4 end style

  4. begin mathsize 14px style 3 x squared minus 2 x minus 4 end style

  5. begin mathsize 14px style negative 3 x squared minus 2 x minus 4 end style

I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Jawaban

jawabannya adalah B.

Pembahasan

Ingat kembali bahwa begin mathsize 14px style left parenthesis f plus g right parenthesis left parenthesis x right parenthesis equals f left parenthesis x right parenthesis plus g left parenthesis x 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 plus g right parenthesis left parenthesis x right parenthesis end cell equals cell f left parenthesis x right parenthesis plus g left parenthesis x right parenthesis end cell row blank equals cell left parenthesis 2 x plus 1 right parenthesis left parenthesis x minus 1 right parenthesis plus x squared plus 3 x minus 5 end cell row blank equals cell 2 x squared space minus space x space minus space 1 plus x squared plus 3 x minus 5 end cell row blank equals cell 2 x squared plus x squared minus x plus 3 x minus 1 minus 5 end cell row blank equals cell 3 x squared plus space 2 x minus 6 end cell end table end style

Jadi, jawabannya adalah B.

29

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Pertanyaan serupa

Diberikan (f−g)(x)=−2x2+9x−1 dan g(−2)=−17. Nilai f (-2) adalah ....

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Jawaban terverifikasi

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