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Carilah ( f ∘ g ) ( x ) jika diketahui f ( x ) = 2 x 2 − 2 dan g ( x ) = 2 1 ​ x + 2 .

Carilah  jika diketahui  dan .

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M. Mariyam

Master Teacher

Mahasiswa/Alumni Institut Pertanian Bogor

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artinya g dimasukkan ke f Diketahui dan , maka: Diperoleh .

begin mathsize 14px style left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis end style artinya g dimasukkan ke f

Diketahui begin mathsize 14px style f left parenthesis x right parenthesis equals 2 x squared minus 2 end style dan begin mathsize 14px style g left parenthesis x right parenthesis equals begin inline style 1 half end style x plus 2 end style, maka:

begin mathsize 14px style open parentheses f ring operator g close parentheses left parenthesis x right parenthesis equals f left parenthesis g left parenthesis x right parenthesis right parenthesis space space space space space space space space space space space space space space equals 2 open parentheses begin inline style 1 half end style x plus 2 close parentheses squared minus 2 space space space space space space space space space space space space space space equals 2 open parentheses begin inline style 1 fourth end style x squared plus 2 x plus 4 close parentheses minus 2 space space space space space space space space space space space space space space equals 2 cross times begin inline style 1 fourth end style x squared plus 2 cross times 2 x plus left parenthesis 2 cross times 4 right parenthesis minus 2 space space space space space space space space space space space space space space equals begin inline style 1 half end style x squared plus 4 x plus 8 minus 2 space space space space space space space space space space space space space space equals begin inline style 1 half end style x squared plus 4 x plus 6 end style

Diperoleh begin mathsize 14px style open parentheses f ring operator g close parentheses left parenthesis x right parenthesis equals begin inline style 1 half end style x squared plus 4 x plus 6 end style.

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