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Pertanyaan

Invers fungi f left parenthesis x right parenthesis equals fraction numerator 2 x minus 3 over denominator 3 x minus 1 end fraction comma x not equal to 1 third adalah ....

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

  2. f to the power of negative 1 end exponent left parenthesis x right parenthesis equals fraction numerator x minus 3 over denominator 3 x minus 3 end fraction comma x not equal to 1

  3. f to the power of negative 1 end exponent left parenthesis x right parenthesis equals fraction numerator 2 x minus 2 over denominator x minus 3 end fraction comma x not equal to 3

  4. f to the power of negative 1 end exponent left parenthesis x right parenthesis equals fraction numerator x minus 3 over denominator 3 x minus 2 end fraction comma x not equal to 2 over 3

  5. f to the power of negative 1 end exponent left parenthesis x right parenthesis equals fraction numerator 3 x minus 2 over denominator x minus 3 end fraction comma x not equal to 3

F. Pratama

Master Teacher

Mahasiswa/Alumni Universitas Putra Indonesia YPTK Padang

Jawaban terverifikasi

Pembahasan

Cari invers dengan formula berikut

f to the power of negative 1 end exponent left parenthesis x right parenthesis equals fraction numerator a x plus b over denominator c x plus d end fraction rightwards double arrow f to the power of negative 1 end exponent left parenthesis x right parenthesis equals fraction numerator negative d x plus b over denominator c x minus a end fraction  space space space space space space space space space space space space space space space space space space space f left parenthesis x right parenthesis equals fraction numerator 2 x minus 3 over denominator 3 x minus 1 end fraction

Dengan a = 2, b = -3, c = 3 dan d = -1, maka

                  f to the power of negative 1 end exponent left parenthesis x right parenthesis equals fraction numerator x minus 3 over denominator 3 x minus 2 end fraction

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