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Diketahui fungsi dan g(x) = x + 3. Fungsi komposis...

Diketahui fungsi f left parenthesis x right parenthesis equals 3 x squared minus 2 x plus 1 dan g(x) = x + 3. Fungsi komposisi (fog)(x) = ....

  1. 3 x squared plus 16 x minus 22

  2. 3 x squared plus 16 x plus 22

  3. 3 x squared plus 18 x plus 27

  4. 3 x squared minus 18 x plus 22

  5. 3 x squared minus 18 x minus 22

Jawaban:

Fungsi komposisi (fog)(x) = f(g(x))

Dengan

f left parenthesis x right parenthesis equals 3 x squared minus 2 x plus 1 g left parenthesis x right parenthesis equals x plus 3

Maka didapat,

f left parenthesis g left parenthesis x right parenthesis right parenthesis equals f left parenthesis x plus 3 right parenthesis equals 3 left parenthesis x plus 3 right parenthesis squared minus 2 left parenthesis x plus 3 right parenthesis plus 1 space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 3 left parenthesis x squared plus 6 x plus 9 right parenthesis minus 2 x minus 6 plus 1 space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 3 x squared plus 18 x plus 27 minus 2 x minus 5 space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 3 x squared plus 16 plus 22

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