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Diketahui . Jika ,maka ....

Diketahui begin mathsize 14px style open parentheses f ring operator g close parentheses to the power of negative 1 end exponent open parentheses x close parentheses equals 2 x minus 1 end style  . Jika begin mathsize 14px style g to the power of negative 1 end exponent open parentheses x close parentheses equals 3 minus x end style, maka begin mathsize 14px style open parentheses f ring operator g to the power of negative 1 end exponent ring operator g close parentheses to the power of negative 1 end exponent open parentheses x close parentheses equals end style   ....

  1. begin mathsize 14px style fraction numerator 4 plus x over denominator 2 end fraction end style 

  2. begin mathsize 14px style fraction numerator 4 minus x over denominator 2 end fraction end style 

  3. -2x + 5

  4. -2x + 4

     

  5. - 2x + 2

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A. Rizky

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Pembahasan

Dengan menggunakan sifat Maka Diketahui , maka Jadi,

Dengan menggunakan sifat

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses f ring operator g ring operator h close parentheses to the power of negative 1 end exponent open parentheses x close parentheses end cell equals cell open parentheses h to the power of negative 1 end exponent ring operator g to the power of negative 1 end exponent ring operator f to the power of negative 1 end exponent close parentheses open parentheses x close parentheses comma end cell row cell open parentheses f to the power of negative 1 end exponent close parentheses to the power of negative 1 end exponent open parentheses x close parentheses end cell equals cell f open parentheses x close parentheses comma end cell row cell open parentheses g to the power of negative 1 end exponent ring operator g ring operator f close parentheses open parentheses x close parentheses end cell equals cell f open parentheses x close parentheses comma end cell end table end style 

Maka

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses f ring operator g to the power of negative 1 end exponent ring operator g close parentheses to the power of negative 1 end exponent open parentheses x close parentheses end cell equals cell open parentheses g to the power of negative 1 end exponent ring operator open parentheses g to the power of negative 1 end exponent close parentheses to the power of negative 1 end exponent ring operator f to the power of negative 1 end exponent close parentheses open parentheses x close parentheses end cell row blank equals cell open parentheses g to the power of negative 1 end exponent ring operator g ring operator f to the power of negative 1 end exponent close parentheses open parentheses x close parentheses end cell row blank equals cell f to the power of negative 1 end exponent open parentheses x close parentheses end cell end table end style 

Diketahui begin mathsize 14px style open parentheses f ring operator g close parentheses to the power of negative 1 end exponent left parenthesis x right parenthesis equals 2 x minus 1 space d a n space g to the power of negative 1 end exponent open parentheses x close parentheses equals 3 minus x end style  , maka

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses f ring operator g close parentheses to the power of negative 1 end exponent open parentheses x close parentheses end cell equals cell 2 x minus 1 end cell row cell open parentheses g to the power of negative 1 end exponent ring operator f to the power of negative 1 end exponent close parentheses open parentheses x close parentheses end cell equals cell 2 x minus 1 end cell row cell g to the power of negative 1 end exponent open parentheses f to the power of negative 1 end exponent open parentheses x close parentheses close parentheses end cell equals cell 2 x minus 1 end cell row cell 3 minus f to the power of negative 1 end exponent open parentheses x close parentheses end cell equals cell 2 x minus 1 end cell row cell negative f to the power of negative 1 end exponent open parentheses x close parentheses end cell equals cell 2 x minus 1 minus 3 end cell row cell negative f to the power of negative 1 end exponent open parentheses x close parentheses end cell equals cell 2 x minus 4 end cell row cell f to the power of negative 1 end exponent open parentheses x close parentheses end cell equals cell negative 2 x plus 4 end cell end table end style 

Jadi,

begin mathsize 14px style open parentheses f ring operator g to the power of negative 1 end exponent ring operator g close parentheses to the power of negative 1 end exponent open parentheses x close parentheses equals f to the power of negative 1 end exponent open parentheses x close parentheses equals negative 2 x plus 4 end style 

 

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