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J ika f ( x ) = 5 3 x d an f ( x ) in v ers d a r i f ( x ) , maka ni l ai f − 1 ( 5 5 ​ ) a d a l ah ...

  1. negative 1 half

  2. 1 over 6

  3. 1 half

  4. 1

  5. 3 over 2

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D. Kamilia

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

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Pembahasan

f left parenthesis x right parenthesis equals 5 to the power of 3 x end exponent  f apostrophe left parenthesis x right parenthesis equals 5 to the power of 3 x end exponent  y equals 5 to the power of 3 x end exponent  log y equals log open parentheses 5 to the power of 3 x end exponent close parentheses  log open parentheses y close parentheses equals 3 x log 5  3 x equals fraction numerator log y over denominator log 5 end fraction  x equals fraction numerator fraction numerator log y over denominator log 5 end fraction over denominator 3 end fraction  x equals fraction numerator log y over denominator 3 log 5 end fraction  f left parenthesis x right parenthesis equals fraction numerator log x over denominator log 5 cubed end fraction equals log presuperscript 5 cubed end presuperscript x equals 1 third log presuperscript 5 x  f left parenthesis 5 square root of 5 right parenthesis equals 1 third log presuperscript 5 5 square root of 5  space space space space space space space space space space space space space equals 1 third log presuperscript 5 5 to the power of 3 over 2 end exponent  space space space space space space space space space space space space space equals open parentheses 1 third close parentheses open parentheses 3 over 2 close parentheses log presuperscript 5 5  space space space space space space space space space space space space space equals 3 over 6  space space space space space space space space space space space space space equals 1 half

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Diketahui f ( x ) = 5 x + 6 , g − 1 ( x ) = 5 x − 9 x − 5 ​ ; x  = 5 9 ​ dan ( h ∘ g ) − 1 ( x ) = 3 x − 11 . Tentukan: a. rumus fungsi g .

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