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Pertanyaan

Diketahui f ( x ) = g ( x − 6 x − 2 ​ ) Jika f ( 3 ) = 6 , maka g ( − 1 ) = ....

Diketahui  Jika  maka 

  1. 12

  2. 16

  3. 20

  4. 24

  5. 28

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S. Nur

Master Teacher

Jawaban terverifikasi

Pembahasan

Ingat! Maka :

Ingat!

f left parenthesis x right parenthesis equals g open parentheses u left parenthesis x right parenthesis close parentheses rightwards arrow f apostrophe left parenthesis x right parenthesis equals g apostrophe left parenthesis u left parenthesis x right parenthesis right parenthesis. u apostrophe left parenthesis x right parenthesis

Maka :

f left parenthesis x right parenthesis equals g left parenthesis x minus square root of 6 x minus 2 end root right parenthesis f apostrophe left parenthesis x right parenthesis equals g apostrophe left parenthesis x minus square root of 6 x minus 2 end root right parenthesis open parentheses 1 minus fraction numerator 6 over denominator 2 square root of 6 x minus 2 end root end fraction close parentheses f apostrophe left parenthesis 3 right parenthesis equals g apostrophe left parenthesis 3 minus square root of 6 left parenthesis 3 right parenthesis minus 2 end root right parenthesis open parentheses 1 minus fraction numerator 6 over denominator 2 square root of 6 left parenthesis 3 right parenthesis minus 2 end root end fraction close parentheses 6 equals g apostrophe left parenthesis 3 minus square root of 16 right parenthesis open parentheses 1 minus fraction numerator 6 over denominator 2 square root of 16 end fraction close parentheses 6 equals g apostrophe left parenthesis 3 minus 4 right parenthesis open parentheses 1 minus 3 over 4 close parentheses 6 equals g apostrophe left parenthesis negative 1 right parenthesis open parentheses 1 fourth close parentheses g apostrophe left parenthesis negative 1 right parenthesis equals 24

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Jika m dan n bilangan real dan fungsi f ( x ) = m x 3 + 2 x 2 − n x + 5 memenuhi f ( 1 ) = f ( − 5 ) = 0 , maka 3 m − n = .....

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