Roboguru

Diketahui  dan . Nilai dari

Pertanyaan

Diketahui begin mathsize 14px style f left parenthesis x right parenthesis equals 2 x minus 3 end style dan begin mathsize 14px style left parenthesis g ring operator f right parenthesis left parenthesis x right parenthesis equals 4 x minus 9 end style. Nilai dari begin mathsize 14px style g to the power of negative 1 end exponent left parenthesis 3 right parenthesis equals horizontal ellipsis end style 

Pembahasan Soal:

Diketahui begin mathsize 14px style f left parenthesis x right parenthesis equals 2 x minus 3 end style dan begin mathsize 14px style left parenthesis g ring operator f right parenthesis left parenthesis x right parenthesis equals 4 x minus 9 end style. Nilai dari begin mathsize 14px style g to the power of negative 1 end exponent left parenthesis 3 right parenthesis equals horizontal ellipsis end style 

begin mathsize 14px style 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 cell 4 x minus 9 end cell equals cell g left parenthesis 2 x minus 3 right parenthesis end cell row cell 4 x minus 6 minus 3 end cell equals cell g left parenthesis 2 x minus 3 right parenthesis end cell row cell 2 left parenthesis 2 x minus 3 right parenthesis minus 3 end cell equals cell g left parenthesis 2 x minus 3 right parenthesis end cell row cell 2 x minus 3 end cell equals cell g left parenthesis x right parenthesis end cell row cell g left parenthesis x right parenthesis end cell equals cell 2 x minus 3 end cell row blank blank blank row blank blank blank end table end style 

maka:

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

Jadi, nilai dari begin mathsize 14px style g to the power of negative 1 end exponent left parenthesis 3 right parenthesis equals 3 end style

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 04 April 2021

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