Roboguru

Diketahui   Tentukan :

Diketahui begin mathsize 14px style straight f open parentheses straight x close parentheses equals 2 straight x minus 1 space dan space straight f open parentheses straight x close parentheses equals 3 straight x plus 5 end style 

Tentukan :

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

Jawaban:

Karena pada soal diatas, diketahui begin mathsize 14px style straight f open parentheses straight x close parentheses equals 2 straight x minus 1 space dan space straight f open parentheses straight x close parentheses equals 3 straight x plus 5 end style , sehingga salah satu harus kita asumsikan sebagai begin mathsize 14px style straight g space open parentheses straight x close parentheses end style . Maka dari itu kita misalkan 

begin mathsize 14px style straight f left parenthesis straight x right parenthesis equals 2 straight x minus 1 space dan space straight g left parenthesis straight x right parenthesis equals 3 straight x plus 5 end style 

Menentukan begin mathsize 14px style open parentheses straight f ring operator straight g close parentheses to the power of negative 1 end exponent open parentheses straight x close parentheses equals... end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 2px end attributes row cell straight f open parentheses straight x close parentheses end cell equals cell 2 straight x minus 1 end cell row straight x equals cell 2 straight y minus 1 end cell row cell fraction numerator straight x plus 1 over denominator 2 end fraction end cell equals straight y row cell straight f to the power of negative 1 end exponent open parentheses straight x close parentheses end cell equals cell fraction numerator straight x plus 1 over denominator 2 end fraction end cell row blank blank blank row cell straight g open parentheses straight x close parentheses end cell equals cell 3 straight x plus 5 end cell row straight x equals cell 3 straight y plus 5 end cell row cell fraction numerator straight x minus 5 over denominator 3 end fraction end cell equals straight y row cell straight g to the power of negative 1 end exponent open parentheses straight x close parentheses end cell equals cell fraction numerator straight x minus 5 over denominator 3 end fraction end cell row blank blank blank row cell open parentheses straight f ring operator straight g close parentheses to the power of negative 1 end exponent open parentheses straight x close parentheses end cell equals cell straight g to the power of negative 1 end exponent open parentheses straight f to the power of negative 1 end exponent open parentheses straight x close parentheses close parentheses end cell row cell open parentheses straight f ring operator straight g close parentheses to the power of negative 1 end exponent open parentheses straight x close parentheses end cell equals cell straight g to the power of negative 1 end exponent open parentheses fraction numerator straight x plus 1 over denominator 2 end fraction close parentheses end cell row blank equals cell fraction numerator straight x minus 5 over denominator 3 end fraction end cell row cell open parentheses straight f ring operator straight g close parentheses to the power of negative 1 end exponent open parentheses straight x close parentheses end cell equals cell fraction numerator fraction numerator straight x plus 1 over denominator 2 end fraction minus 5 over denominator 3 end fraction end cell row cell open parentheses straight f ring operator straight g close parentheses to the power of negative 1 end exponent open parentheses straight x close parentheses end cell equals cell fraction numerator begin display style fraction numerator straight x plus 1 minus 10 over denominator 2 end fraction end style over denominator 3 end fraction end cell row cell open parentheses straight f ring operator straight g close parentheses to the power of negative 1 end exponent open parentheses straight x close parentheses end cell equals cell fraction numerator straight x minus 9 over denominator 6 end fraction end cell end table end style 

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