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Diketahui fungsi fungsi komposisi

Diketahui fungsi f left parenthesis x right parenthesis equals 2 x squared minus 3 x plus 4 space d a n space g left parenthesis x right parenthesis equals x plus 2. fungsi komposisi left parenthesis f o g right parenthesis left parenthesis x right parenthesis equals...

  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

Jawaban:

left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis equals f left parenthesis g left parenthesis x right parenthesis right parenthesis  equals f left parenthesis x plus 2 right parenthesis  equals 2 left parenthesis x plus 2 right parenthesis squared minus 3 left parenthesis x plus 2 right parenthesis plus 4  equals 2 left parenthesis x squared plus 4 x plus 4 right parenthesis minus 3 x minus 6 plus 4  equals 2 x squared plus 8 x plus 8 minus 3 x minus 2  equals 2 x squared plus 5 x plus 6

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