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Jika , , nilai  =....

Pertanyaan

Jika f left parenthesis x right parenthesis equals fraction numerator 3 x plus 7 over denominator x minus 2 end fraction, x not equal to 2, nilai f to the power of negative 1 end exponent left parenthesis 2 right parenthesis =....

  1. negative 11

  2. negative 15

  3. negative 3

  4. 2

  5. negative 8

Pembahasan Soal:

Berdasarkan sifat fungsi invers, maka didapatkan :

table attributes columnalign right center left columnspacing 0px end attributes row cell f left parenthesis x right parenthesis end cell equals cell fraction numerator 3 x plus 7 over denominator x minus 2 end fraction end cell row y equals cell fraction numerator 3 x plus 7 over denominator x minus 2 end fraction end cell row cell y left parenthesis x minus 2 right parenthesis end cell equals cell 3 x plus 7 end cell row cell y x minus 2 y end cell equals cell 3 x plus 7 end cell row cell y x minus 3 x end cell equals cell 7 plus 2 y end cell row cell x left parenthesis y minus 3 right parenthesis end cell equals cell 7 plus 2 y end cell row x equals cell fraction numerator 7 plus 2 y over denominator y minus 3 end fraction end cell row cell f to the power of negative 1 end exponent left parenthesis x right parenthesis end cell equals cell fraction numerator 7 plus 2 x over denominator x minus 3 end fraction end cell end table

Maka :

table attributes columnalign right center left columnspacing 0px end attributes row cell f to the power of negative 1 end exponent left parenthesis x right parenthesis end cell equals cell fraction numerator 7 plus 2 x over denominator x minus 3 end fraction end cell row cell f to the power of negative 1 end exponent left parenthesis 2 right parenthesis end cell equals cell fraction numerator 7 plus 2 left parenthesis 2 right parenthesis over denominator 2 minus 3 end fraction end cell row blank equals cell fraction numerator 7 plus 4 over denominator negative 1 end fraction end cell row blank equals cell negative 11 end cell end table

Maka nilai f to the power of negative 1 end exponent left parenthesis 2 right parenthesis adalah negative 11

Oleh karena itu, jawaban yang benar adalah A

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 06 Mei 2021

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