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Jika f ( x ) = x 2 − 6 x + 10 maka f − 1 ( 2 ) = …

Jika  maka   

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L. Marlina

Master Teacher

Mahasiswa/Alumni Institut Teknologi Bandung

Jawaban terverifikasi

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bernilai 4 atau 2.

 begin mathsize 14px style f to the power of negative 1 end exponent open parentheses 2 close parentheses end style bernilai 4 atau 2.

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Pembahasan

Jika maka Jadi, bernilai 4 atau 2.

Jika begin mathsize 14px style f open parentheses x close parentheses equals x squared minus 6 x plus 10 end style maka 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row y equals cell x squared minus 6 x plus 10 end cell row cell y minus 10 end cell equals cell x squared minus 6 x end cell row cell y minus 10 plus 9 end cell equals cell x squared minus 6 x plus 9 end cell row cell y minus 1 end cell equals cell open parentheses x minus 3 close parentheses squared end cell row cell x minus 3 end cell equals cell plus-or-minus square root of y minus 1 end root end cell row x equals cell 3 plus-or-minus square root of y minus 1 end root end cell row cell f to the power of negative 1 end exponent open parentheses x close parentheses end cell equals cell 3 plus-or-minus square root of x minus 1 end root end cell row cell f to the power of negative 1 end exponent open parentheses 2 close parentheses end cell equals cell 3 plus-or-minus square root of 2 minus 1 end root end cell row cell f to the power of negative 1 end exponent open parentheses 2 close parentheses end cell equals cell 3 plus-or-minus 1 end cell row cell f to the power of negative 1 end exponent open parentheses 2 close parentheses end cell equals cell 4 comma space atau end cell row cell f to the power of negative 1 end exponent open parentheses 2 close parentheses end cell equals 2 end table end style 

Jadi, begin mathsize 14px style f to the power of negative 1 end exponent open parentheses 2 close parentheses end style bernilai 4 atau 2.

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