Roboguru

Pertanyaan

Invers fungsi dari y equals fraction numerator 3 x plus 2 over denominator 2 x minus 1 end fraction comma space x space not equal to 1 halfy equals fraction numerator 3 x plus 2 over denominator 2 x minus 1 end fraction comma space x space not equal to 1 half adalah .....

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

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

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

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

I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

Misal, f(x)=y, maka :

y equals fraction numerator 3 x plus 2 over denominator 2 x minus 1 end fraction  2 x y minus y equals 3 x plus 2 space  2 x y minus 3 x equals y plus 2 space  x left parenthesis 2 y minus 3 right parenthesis equals y plus 2  space x equals fraction numerator y plus 2 over denominator 2 y minus 3 end fraction

Sehingga invers fungsinya didapat

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

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