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Jika , fungsi  =....

Pertanyaan

Jika f left parenthesis x right parenthesis equals fraction numerator 6 x plus 5 over denominator 2 x minus 3 end fraction, fungsi f to the power of negative 1 end exponent left parenthesis x right parenthesis =....

  1. table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 2 x plus 5 over denominator 3 x minus 6 end fraction end cell end table

  2. table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 6 x minus 2 over denominator 3 x plus 5 end fraction end cell end table

  3. table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 3 x plus 5 over denominator 2 x minus 6 end fraction end cell end table

  4. table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 5 x minus 3 over denominator 2 x minus 6 end fraction end cell end table

  5. table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 3 x plus 2 over denominator 5 x minus 6 end fraction end cell end table

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 6 x plus 5 over denominator 2 x minus 3 end fraction end cell row y equals cell fraction numerator 6 x plus 5 over denominator 2 x minus 3 end fraction end cell row cell y left parenthesis 2 x minus 3 right parenthesis end cell equals cell 6 x plus 5 end cell row cell 2 y x minus 3 y end cell equals cell 6 x plus 5 end cell row cell 2 y x minus 6 x end cell equals cell 3 y plus 5 end cell row cell x left parenthesis 2 y minus 6 right parenthesis end cell equals cell 3 y plus 5 end cell row x equals cell fraction numerator 3 y plus 5 over denominator 2 y minus 6 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 3 x plus 5 over denominator 2 x minus 6 end fraction end cell end table

Maka fungsi f to the power of negative 1 end exponent left parenthesis x right parenthesis adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 3 x plus 5 over denominator 2 x minus 6 end fraction end cell end table

Oleh karena itu, jawaban yang benar adalah C

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 06 Mei 2021

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