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Pertanyaan

Diketahui f ( x ) = 3 x 2 − x + 2 dan g ( x ) = 2 x − 3 .Fungsi komposisi ( g ∘ f ) ( x ) = ....

Diketahui  dan .Fungsi komposisi ....

  1. 6 x squared minus 2 x plus 1

  2. 6 x squared plus 2 x plus 6

  3. 6 x squared plus 2 x minus 2

  4. 12 x squared minus 6 x minus 1

  5. 12 x squared minus 38 x minus 32

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N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Jawaban

.

 left parenthesis g ring operator f right parenthesis left parenthesis x right parenthesis equals 6 x squared minus 2 x plus 1.

Pembahasan

Jadi, .

f left parenthesis x right parenthesis equals 3 x squared minus x plus 2 g left parenthesis x right parenthesis equals 2 x minus 3 left parenthesis g ring operator f right parenthesis left parenthesis x right parenthesis equals g left parenthesis f left parenthesis x right parenthesis right parenthesis space space space space space space space space space space space space space space space equals 2 left parenthesis 3 x squared minus x plus 2 right parenthesis minus 3 space space space space space space space space space space space space space space space equals 6 x squared minus 2 x plus 4 minus 3 space space space space space space space space space space space space space space space equals 6 x squared minus 2 x plus 1

 

Jadi, left parenthesis g ring operator f right parenthesis left parenthesis x right parenthesis equals 6 x squared minus 2 x plus 1.

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Diketahui f ( x ) = x 2 − x − 1 dan g ( x ) = 3 x − 2 . Fungsi komposisi ( f ∘ g ) ( x ) = ...

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