Roboguru

Invers space fungsi space straight f left parenthesis straight x right parenthesis equals fraction numerator 2 straight x plus 3 over denominator straight x minus 1 end fraction comma space straight x not equal to 1 space adalah space....

  1. f apostrophe left parenthesis x right parenthesis equals fraction numerator x plus 3 over denominator x minus 2 end fraction semicolon space x not equal to 2

     

  2. f apostrophe left parenthesis x right parenthesis equals fraction numerator x plus 3 over denominator x plus 2 end fraction semicolon space x not equal to negative 2

     

  3. f apostrophe left parenthesis x right parenthesis equals fraction numerator x minus 3 over denominator x minus 2 end fraction semicolon space x not equal to 2

     

  4. f apostrophe left parenthesis x right parenthesis equals fraction numerator 2 x plus 3 over denominator x plus 2 end fraction semicolon space x not equal to negative 2

     

  5. f apostrophe left parenthesis x right parenthesis equals fraction numerator 2 x plus 3 over denominator x minus 1 end fraction semicolon space x not equal to 1

     

Jawaban:

Cari space invers space dengan space formula space berikut space  straight f to the power of negative 1 end exponent left parenthesis straight x right parenthesis equals fraction numerator ax plus straight b over denominator cx plus straight d end fraction space rightwards double arrow space straight f to the power of negative 1 end exponent left parenthesis straight x right parenthesis equals fraction numerator negative dx plus straight b over denominator cx minus straight a end fraction    straight f left parenthesis straight x right parenthesis equals fraction numerator 2 straight x plus 3 over denominator straight x minus 1 end fraction  Dengan space straight a equals 1 comma space straight b equals 2 comma space straight c equals 1 space dan space straight d equals negative 1 comma space maka  straight f to the power of negative 1 end exponent left parenthesis straight x right parenthesis equals fraction numerator negative left parenthesis negative 1 right parenthesis straight x plus 3 over denominator straight x minus 2 end fraction  straight f to the power of negative 1 end exponent left parenthesis straight x right parenthesis equals fraction numerator straight x plus 3 over denominator straight x minus 2 end fraction semicolon space straight x not equal to 2

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