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Pertanyaan

Jika diketahui f ( x ) = 3 x − 6 ​ + 2 , x ≥ 2 1 ​ , invers fungsi dari f(x) adalah...

Jika diketahui , invers fungsi dari f(x) adalah...

  1.  undefined 

  2.  size 14px f to the power of size 14px minus size 14px 1 end exponent size 14px left parenthesis size 14px x size 14px right parenthesis size 14px equals size 14px 1 over size 14px 3 size 14px x to the power of size 14px 2 size 14px plus size 14px 4 over size 14px 3 size 14px x size 14px minus size 14px 2 over size 14px 3 size 14px space 

  3.  begin mathsize 14px style f to the power of negative 1 end exponent left parenthesis x right parenthesis equals 1 third x squared minus 4 over 3 x minus 10 over 3 space end style 

  4.  size 14px f to the power of size 14px minus size 14px 1 end exponent size 14px left parenthesis size 14px x size 14px right parenthesis size 14px equals size 14px 1 over size 14px 3 size 14px x to the power of size 14px 2 size 14px minus size 14px 4 over size 14px 3 size 14px x size 14px plus size 14px 10 over size 14px 3 size 14px space 

  5.  size 14px f to the power of size 14px minus size 14px 1 end exponent size 14px left parenthesis size 14px x size 14px right parenthesis size 14px equals size 14px 1 over size 14px 3 size 14px x to the power of size 14px 2 size 14px plus size 14px 4 over size 14px 3 size 14px x size 14px plus size 14px 10 over size 14px 3 size 14px space 

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H. Hermawan

Master Teacher

Mahasiswa/Alumni Universitas Lampung

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah D.

jawaban yang tepat adalah D.

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Pembahasan

Jadi, jawaban yang tepat adalah D.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell f left parenthesis x right parenthesis end cell equals cell square root of 3 x minus 6 end root plus 2 end cell row y equals cell square root of 3 x minus 6 end root plus 2 end cell row cell y minus 2 end cell equals cell square root of 3 x minus 6 end root end cell row cell left parenthesis y minus 2 right parenthesis squared end cell equals cell 3 x minus 6 end cell row cell y squared minus 4 y plus 4 end cell equals cell 3 x minus 6 end cell row cell 3 x end cell equals cell y squared minus 4 y plus 10 end cell row x equals cell 1 third y squared minus 4 over 3 y plus 10 over 3 end cell row blank blank blank row cell f to the power of negative 1 end exponent left parenthesis x right parenthesis end cell equals cell 1 third x squared minus 4 over 3 x plus 10 over 3 end cell end table end style

Jadi, jawaban yang tepat adalah D.

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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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