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Diketahui fungsi f(x)=2x2−3x+4 dan g(x)=x+2. Fungsi komposisi (fog)(x)=.....

Pertanyaan

Diketahui space fungsi space straight f left parenthesis straight x right parenthesis equals 2 straight x squared minus 3 straight x plus 4 space dan space straight g left parenthesis straight x right parenthesis equals straight x plus 2. space Fungsi space komposisi space left parenthesis fog right parenthesis left parenthesis straight x right parenthesis equals.....

  1. 2 x squared plus 5 x

  2. 2 x squared minus 5 x

  3. 2 x squared plus 5 x plus 6

  4. 2 x squared plus 5 x minus 6

  5. 2 x squared minus 5 x plus 6

Y. Laksmi

Master Teacher

Mahasiswa/Alumni Universitas Negeri Semarang

Jawaban terverifikasi

Pembahasan

Fungsi space komposisi space left parenthesis straight f ring operator straight g right parenthesis left parenthesis straight x right parenthesis equals straight f left parenthesis straight g left parenthesis straight x right parenthesis right parenthesis  Dengan  f left parenthesis x right parenthesis equals 2 x squared minus 3 x plus 4  g left parenthesis x right parenthesis equals x plus 2    Maka space di space dapat comma  f left parenthesis g left parenthesis x right parenthesis right parenthesis equals f left parenthesis x plus 2 right parenthesis  space space space space space space space space space space space equals 2 left parenthesis x plus 2 right parenthesis squared minus 3 left parenthesis x plus 2 right parenthesis plus 4  space space space space space space space space space space space equals 2 left parenthesis x squared plus 4 x plus 4 right parenthesis minus 3 x minus 6 plus 4  space space space space space space space space space space space equals 2 x squared plus 8 x plus 8 minus 3 x minus 2  space space space space space space space space space space space equals 2 x squared plus 5 x plus 6

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