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Diketahui fungsi  dengan , maka  adalah ...

Pertanyaan

Diketahui fungsi undefined dengan begin mathsize 14px style f left parenthesis x right parenthesis equals fraction numerator x plus 4 over denominator x minus 6 end fraction comma x not equal to 6 space dan space g left parenthesis x right parenthesis equals 2 x minus 1 end style, maka begin mathsize 14px style left parenthesis f ring operator g right parenthesis to the power of negative 1 end exponent left parenthesis x right parenthesis end style adalah ...

Pembahasan Video:

Pembahasan Soal:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis end cell equals cell f left parenthesis g left parenthesis x right parenthesis right parenthesis end cell row blank equals cell f left parenthesis 2 x minus 1 right parenthesis end cell row blank equals cell fraction numerator left parenthesis 2 x minus 1 right parenthesis plus 4 over denominator left parenthesis 2 x minus 1 right parenthesis minus 6 end fraction end cell row blank equals cell fraction numerator 2 x plus 3 over denominator 2 x minus 7 end fraction end cell row y equals cell fraction numerator 2 x plus 3 over denominator 2 x minus 7 end fraction end cell row cell y times left parenthesis 2 x minus 7 right parenthesis end cell equals cell 2 x plus 3 end cell row cell 2 x y minus 7 y end cell equals cell 2 x plus 3 end cell row cell 2 x y minus 2 end cell equals cell 7 y plus 3 end cell row cell x times left parenthesis 2 y minus 2 right parenthesis end cell equals cell 7 y plus 3 end cell row x equals cell fraction numerator 7 y plus 3 over denominator 2 y minus 2 end fraction end cell row cell left parenthesis f ring operator g right parenthesis to the power of negative 1 end exponent left parenthesis x right parenthesis end cell equals cell fraction numerator 7 x plus 3 over denominator 2 x minus 2 end fraction space. end cell end table end style

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Terakhir diupdate 06 Mei 2021

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