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diketahui fungsi dan , dengan tentukan

Pertanyaan

diketahui fungsi begin mathsize 14px style f open parentheses x close parentheses equals 2 x minus 3 end style dan begin mathsize 14px style g left parenthesis x right parenthesis equals fraction numerator 1 over denominator 3 x minus 1 end fraction end style, dengan begin mathsize 14px style x not equal to 1 third end style tentukan 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... end style 

Pembahasan Soal:

Pertama kita menetukan nilai dari begin mathsize 14px style open parentheses f ring operator g close parentheses open parentheses x close parentheses end style:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses f ring operator g close parentheses open parentheses x close parentheses end cell equals cell f left parenthesis g open parentheses x close parentheses right parenthesis end cell row cell open parentheses f ring operator g close parentheses open parentheses x close parentheses end cell equals cell f open parentheses fraction numerator 1 over denominator 3 x minus 1 end fraction close parentheses end cell row cell open parentheses f ring operator g close parentheses open parentheses x close parentheses end cell equals cell 2 open parentheses fraction numerator 1 over denominator 3 x minus 1 end fraction close parentheses minus 1 end cell row cell open parentheses f ring operator g close parentheses open parentheses x close parentheses end cell equals cell fraction numerator 2 over denominator 3 x minus 1 end fraction minus 1 end cell row blank blank blank end table end style 

Kemudian kita tentukan 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 end style:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses f ring operator g close parentheses open parentheses x close parentheses end cell equals cell fraction numerator 2 over denominator 3 x minus 1 end fraction minus 1 end cell row y equals cell fraction numerator 2 over denominator 3 x minus 1 end fraction minus 1 end cell row cell y plus 1 end cell equals cell fraction numerator 2 over denominator 3 x minus 1 end fraction end cell row cell 3 x minus 1 end cell equals cell fraction numerator 2 over denominator y plus 1 end fraction end cell row cell 3 x end cell equals cell fraction numerator 2 over denominator y plus 1 end fraction plus 1 end cell row cell 3 x end cell equals cell fraction numerator 2 plus open parentheses y plus 1 close parentheses over denominator y plus 1 end fraction end cell row x equals cell fraction numerator y plus 3 over denominator y plus 1 end fraction end cell 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 fraction numerator x plus 3 over denominator x plus 1 end fraction end cell row blank blank blank end table end style

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Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 13 Maret 2021

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