Roboguru

Diketahui . Tentukan !

Pertanyaan

Diketahui f left parenthesis x right parenthesis equals 2 x – 1 space dan space g left parenthesis x right parenthesis equals 3 x plus 5. Tentukan left parenthesis f ring operator g right parenthesis to the power of negative 1 end exponent left parenthesis x right parenthesis!

Pembahasan Soal:

Dari soal tersebut, pertama-tama tentukan nilai dari begin mathsize 14px style left parenthesis f ring operator g right parenthesis space left parenthesis x right parenthesis end style.

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 2 left parenthesis 3 x plus 5 right parenthesis minus 1 end cell row blank equals cell 6 x plus 9 end cell end table end style

Setelah itu, tentukan fungsi inversnya.

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 6 x plus 9 end cell row y equals cell 6 x plus 9 end cell row cell 6 x end cell equals cell y minus 9 end cell row x equals cell fraction numerator y minus 9 over denominator 6 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 x minus 9 over denominator 6 end fraction end cell end table end style

Jadi, nilai table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell left parenthesis f ring operator g right parenthesis to the power of negative 1 end exponent left parenthesis x right parenthesis end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator x minus 9 over denominator 6 end fraction end cell end table.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 04 Juni 2021

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