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

  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

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Y. Laksmi

Master Teacher

Mahasiswa/Alumni Universitas Negeri Semarang

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

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