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Pertanyaan

Jika diketahui fungsi f ( x ) = ( 2 x − 1 ) 2 ( x + 2 ) maka f ( x ) adalah ..

Jika diketahui fungsi adalah .. 

  1. 4 left parenthesis 2 x minus 1 right parenthesis space left parenthesis x plus 3 right parenthesis

  2. 2 left parenthesis 2 x space minus space 1 space right parenthesis space left parenthesis 5 x space plus space 6 right parenthesis

  3. left parenthesis 2 x space minus space 1 space right parenthesis space left parenthesis 6 x space plus space 5 right parenthesis

  4. left parenthesis 2 x space minus space 1 right parenthesis space left parenthesis 6 x space plus space 7 right parenthesis

  5. left parenthesis 2 x space minus space 1 right parenthesis space left parenthesis 5 x space plus space 7 right parenthesis

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Pembahasan

f left parenthesis x right parenthesis space equals space left parenthesis 2 x space minus space 1 right parenthesis squared left parenthesis x space minus space 2 right parenthesis u space equals space left parenthesis 2 x space minus space 1 right parenthesis squared u apostrophe space equals space 2 left parenthesis 2 x space minus space 1 right parenthesis space left parenthesis 2 right parenthesis space equals space 4 left parenthesis 2 x minus 1 right parenthesis v space equals space left parenthesis x space plus space 2 right parenthesis v apostrophe space equals space 1 m a k a f apostrophe left parenthesis x right parenthesis space equals space u v apostrophe space plus space u apostrophe v f apostrophe left parenthesis x right parenthesis space equals space left parenthesis 2 x space minus space 1 right parenthesis squared left parenthesis 1 right parenthesis space plus space 4 left parenthesis 2 x space minus space 1 right parenthesis space left parenthesis x space plus 2 right parenthesis f apostrophe left parenthesis x right parenthesis space equals space 4 x squared space minus space 4 x space plus space 1 space plus space 8 x squared space plus space 16 x space minus space 4 x space minus space 8 f apostrophe left parenthesis x right parenthesis space space equals space 12 x squared space minus space 8 x space minus space 7 f apostrophe left parenthesis x right parenthesis space equals space left parenthesis 2 x space minus space 1 right parenthesis space left parenthesis 6 x space plus space 7 right parenthesis

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