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Pertanyaan

Diketahui g(x) = x 2 + 3x + 2 dan (f o g)(x) = 4x 2 + 12x + 13. maka rumus f(x)=....

Diketahui g(x) = x2 + 3x + 2 dan (f o g)(x) = 4x2 + 12x + 13. maka rumus f(x)=.... 

  1. 4x + 5

  2. 4x - 5

  3. 2x + 5

  4. 2x - 5

  5. 4x + 10

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N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

• P e m i s a l a n x squared space plus space 3 x space plus space 2 space equals space a x squared space plus space 3 x space equals space a space – space 2 • left parenthesis f space o space g right parenthesis left parenthesis x right parenthesis space equals space 4 x squared space plus space 12 x space plus space 13 f left parenthesis g left parenthesis x right parenthesis right parenthesis space equals space 4 x squared space plus space 12 x space plus space 13 f left parenthesis x squared space plus space 3 x space plus space 2 right parenthesis space equals space 4 x squared space plus space 12 x space plus space 13 f left parenthesis x squared space plus space 3 x space plus space 2 right parenthesis space equals space 4 x squared space plus space 12 x space plus space 13 f left parenthesis x squared space plus space 3 x space plus space 2 right parenthesis space equals space 4 left parenthesis x squared space plus space 3 x right parenthesis space plus space 13 f left parenthesis a right parenthesis space equals space 4 left parenthesis a space – space 2 right parenthesis space plus space 13 f left parenthesis a right parenthesis space space space equals space 4 a space – space 8 space plus space 13 f left parenthesis a right parenthesis space space space equals space 4 a space plus space 5 comma space m a k a colon f left parenthesis x right parenthesis space space space equals space 4 x space plus space 5

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Jika f(x) = x 2 + 3x dan g(x) = x – 12, maka nilai (f o g)(8) = ....

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