Roboguru

Jika  dan , maka  adalah ...

Pertanyaan

Jika g left parenthesis x right parenthesis equals x plus 2 dan f left parenthesis x right parenthesis equals 2 x plus 4, maka left parenthesis g ring operator f right parenthesis to the power of negative 1 end exponent left parenthesis x right parenthesis adalah ...

Pembahasan Soal:

Diketahui : g left parenthesis x right parenthesis equals x plus 2f left parenthesis x right parenthesis equals 2 x plus 4 

Cari fungsi left parenthesis g ring operator f right parenthesis left parenthesis x right parenthesis terlebih dahulu 

table attributes columnalign right center left columnspacing 0px end attributes row cell left parenthesis g ring operator f right parenthesis left parenthesis x right parenthesis end cell equals cell g left parenthesis f left parenthesis x right parenthesis right parenthesis end cell row blank equals cell g left parenthesis x plus 2 right parenthesis end cell row blank equals cell 2 left parenthesis x plus 2 right parenthesis plus 4 end cell row blank equals cell 2 x plus 4 plus 4 end cell row blank equals cell 2 x plus 8 end cell end table 

Misal left parenthesis g ring operator f right parenthesis left parenthesis x right parenthesis equals y maka left parenthesis g ring operator f right parenthesis to the power of negative 1 end exponent left parenthesis y right parenthesis equals x 

table attributes columnalign right center left columnspacing 0px end attributes row cell left parenthesis g ring operator f right parenthesis left parenthesis x right parenthesis end cell equals cell 2 x plus 8 end cell row y equals cell 2 x plus 8 end cell row cell y minus 8 end cell equals cell 2 x end cell row cell fraction numerator y minus 8 over denominator 2 end fraction end cell equals x row x equals cell fraction numerator y minus 8 over denominator 2 end fraction end cell row cell left parenthesis g ring operator f right parenthesis to the power of negative 1 end exponent left parenthesis y right parenthesis end cell equals cell fraction numerator y minus 8 over denominator 2 end fraction end cell row cell left parenthesis g ring operator f right parenthesis to the power of negative 1 end exponent left parenthesis x right parenthesis end cell equals cell fraction numerator x minus 8 over denominator 2 end fraction end cell end table  

Jadi, left parenthesis g ring operator f right parenthesis to the power of negative 1 end exponent left parenthesis x right parenthesis adalah fraction numerator x minus 8 over denominator 2 end fraction 

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 20 Mei 2021

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