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Pertanyaan

Diketahui h ( x ) = x 2 − 2 x + 4 , tentukan h − 1 ( x ) = …

Diketahui , tentukan    

  1. begin mathsize 14px style plus-or-minus square root of x minus 3 end root minus 1 end style 

  2. size 14px plus-or-minus square root of size 14px x size 14px plus size 14px 3 end root size 14px plus size 14px 1 

  3. size 14px plus-or-minus square root of size 14px x size 14px minus size 14px 3 end root size 14px plus size 14px 1 

  4. size 14px plus-or-minus square root of size 14px minus size 14px x size 14px minus size 14px 3 end root size 14px plus size 14px 1 

  5. size 14px plus-or-minus square root of size 14px minus size 14px x size 14px minus size 14px 3 end root size 14px minus size 14px 1 

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M. Mariyam

Master Teacher

Mahasiswa/Alumni Institut Pertanian Bogor

Jawaban terverifikasi

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Pembahasan

Diketahui , maka adalah Jadi, jawaban yang tepat adalah C.

Diketahui begin mathsize 14px style h open parentheses x close parentheses equals x squared minus 2 x plus 4 end style, maka begin mathsize 14px style h to the power of negative 1 end exponent open parentheses x close parentheses end style adalah

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell h left parenthesis x right parenthesis end cell equals cell x squared minus 2 x plus 4 end cell row cell h left parenthesis x right parenthesis end cell equals cell left parenthesis x minus 1 right parenthesis squared plus 3 end cell row cell space y end cell equals cell left parenthesis x minus 1 right parenthesis squared plus 3 end cell row cell y minus 3 end cell equals cell left parenthesis x minus 1 right parenthesis squared space end cell row cell left parenthesis x minus 1 right parenthesis squared end cell equals cell y minus 3 end cell row cell x minus 1 end cell equals cell plus-or-minus square root of y minus 3 end root end cell row x equals cell plus-or-minus square root of y minus 3 end root plus 1 end cell row cell h to the power of negative 1 end exponent left parenthesis y right parenthesis end cell equals cell plus-or-minus square root of y minus 3 end root plus 1 end cell row cell h to the power of negative 1 end exponent left parenthesis x right parenthesis end cell equals cell plus-or-minus square root of x minus 3 end root plus 1 end cell end table end style 

Jadi, jawaban yang tepat adalah C. 

 

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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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