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Fungsi didefinisikan oleh invers f(x) adalah .....

Fungsi f colon R rightwards arrow R spacedidefinisikan oleh f left parenthesis x right parenthesis space equals fraction numerator 3 x plus 5 over denominator 2 plus x end fraction comma space x not equal to negative 2 invers f(x) adalah .....

  1. fraction numerator 2 x plus 5 over denominator x plus 3 end fraction comma x not equal to negative 3

  2. fraction numerator 2 x minus 5 over denominator x plus 3 end fraction comma space x not equal to negative 3

  3. fraction numerator 2 x minus 5 over denominator 3 minus x end fraction comma space x not equal to 3

  4. fraction numerator 5 x plus 2 over denominator 3 x plus 1 end fraction comma x not equal to negative 1 third

  5. fraction numerator 5 x minus 2 over denominator 3 x minus 1 end fraction comma x not equal to 1 third

Jawaban:

Jawaban C

                                  f left parenthesis x right parenthesis equals fraction numerator a x plus b over denominator c x plus d end fraction comma x not equal to negative d over c 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 comma x not equal to a over c

Maka,

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

 

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