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Fungsi didefinisikan dengan . Invers fungsi f(x) a...

Fungsi f colon straight R rightwards arrow straight R didefinisikan dengan f left parenthesis x right parenthesis equals fraction numerator 2 x minus 1 over denominator 3 x plus 4 end fraction comma x not equal to fraction numerator negative 4 over denominator 3 end fraction. Invers fungsi f(x) adalah ....

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

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

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

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

Jawaban:

Misal f(x) = y maka

y equals fraction numerator 2 x minus 1 over denominator 3 x plus 4 end fraction  3 x y plus 4 y equals 2 x minus 1  3 x y minus 2 x equals 4 y minus 1  x left parenthesis 3 y minus 2 right parenthesis equals negative left parenthesis 4 y plus 1 right parenthesis  x equals negative fraction numerator 4 y plus 1 over denominator 3 y minus 2 end fraction  x equals fraction numerator 4 y plus 1 over denominator 2 minus 3 y end fraction

Sehingga invers fungsi f(x)

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

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