Pertanyaan

Fungsi f : R → R didefinisikkan dengan f ( x ) = 3 x + 4 2 x − 1 ​ , x  = 3 − 4 ​ . Invers fungsi f ( x ) adalah ...

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

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

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

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

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Misal space straight f left parenthesis straight x right parenthesis equals straight y space maka

table attributes columnalign right center left columnspacing 0px end attributes row y equals cell fraction numerator 2 x minus 1 over denominator 3 x plus 4 end fraction space end cell row cell 3 x y plus 4 y end cell equals cell 2 x minus 1 space end cell row cell 3 x y minus 2 x end cell equals cell negative 4 y minus 1 space end cell row cell x left parenthesis 3 y minus 2 right parenthesis end cell equals cell negative left parenthesis 4 y plus 1 right parenthesis end cell row cell space x end cell equals cell fraction numerator negative 4 y plus 1 space over denominator 3 y minus 2 end fraction space end cell row x equals cell fraction numerator 4 y plus 1 over denominator 2 minus 3 y end fraction end cell end table

S e h i n g g a space i n v e r s space f u n g s i f space f to the power of negative 1 end exponent left parenthesis x right parenthesis comma  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 space x not equal to 2 over 3

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Diketahui fungsi f : R → R dan g : R dinyatakan dengan f ( x ) = 2 x − 3 x + 3 ​ , x  = 2 3 ​ dan g ( x ) = x + 1. Jika hasil ( f − g ) ( p ) = − 1 , nilai p yang memenuhi adalah ...

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