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Pertanyaan

Diketahui fungsi f colon R rightwards arrow R ditentukan dengan rumus f open parentheses x close parentheses equals fraction numerator x plus 3 over denominator 2 x plus 1 end fraction semicolon x not identical to negative 1 half. Invers fungsi f(x) adalah f-1(x) = ...

  1. fraction numerator negative x plus 3 over denominator 2 x minus 1 end fraction semicolon x not identical to 1 half

  2. fraction numerator negative x minus 3 over denominator 2 x minus 1 end fraction semicolon x not identical to 1 half

  3. fraction numerator negative x minus 3 over denominator 2 x plus 1 end fraction semicolon x not identical to negative 1 half

  4. fraction numerator negative x plus 3 over denominator 2 x plus 1 end fraction semicolon x not identical to negative 1 half

  5. fraction numerator x plus 3 over denominator 2 x plus 1 end fraction semicolon x not identical to negative 1 half

S. Intan

Master Teacher

Mahasiswa/Alumni Institut Pertanian Bogor

Jawaban terverifikasi

Pembahasan

f left parenthesis x right parenthesis equals fraction numerator a x plus b over denominator c x plus d end fraction rightwards arrow f to the power of negative 1 end exponent open parentheses x close parentheses equals fraction numerator negative d x plus b over denominator c x plus open parentheses negative a close parentheses end fraction

Perhatikan letak a dan d ditukar dan tandanya berubah jadi negatif (-) , maka

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

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