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Pertanyaan

Diketahui begin mathsize 14px style open parentheses f ring operator g close parentheses left parenthesis x right parenthesis equals 5 minus 2 x end style dan begin mathsize 14px style f left parenthesis x right parenthesis equals 3 x plus 1 end style. Tentukan fungsi begin mathsize 14px style g left parenthesis x minus 1 right parenthesis end style!

D. Enty

Master Teacher

Jawaban terverifikasi

Jawaban

fungsi bold italic g bold left parenthesis bold italic x bold minus bold 1 bold right parenthesis bold equals bold 2 bold minus bold 2 over bold 3 bold italic x.

Pembahasan

Diketahui undefined dan undefined, sehingga didapat:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses f ring operator g close parentheses left parenthesis x right parenthesis end cell equals cell f left parenthesis g left parenthesis x right parenthesis right parenthesis end cell row cell 5 minus 2 x end cell equals cell 3 left parenthesis g left parenthesis x right parenthesis right parenthesis plus 1 end cell row cell 5 minus 2 x end cell equals cell 3 g left parenthesis x right parenthesis plus 1 end cell row cell 4 minus 2 x end cell equals cell 3 g left parenthesis x right parenthesis end cell row cell fraction numerator 4 minus 2 x over denominator 3 end fraction end cell equals cell g left parenthesis x right parenthesis end cell end table end style 

Dari hasil tersebut maka didapat:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell g left parenthesis x minus 1 right parenthesis end cell equals cell fraction numerator 4 minus 2 left parenthesis x minus 1 right parenthesis over denominator 3 end fraction end cell row blank equals cell fraction numerator 4 minus 2 x plus 2 over denominator 3 end fraction end cell row blank equals cell fraction numerator 6 minus 2 x over denominator 3 end fraction end cell row blank equals cell 2 minus 2 over 3 x end cell end table end style 

Jadi, fungsi bold italic g bold left parenthesis bold italic x bold minus bold 1 bold right parenthesis bold equals bold 2 bold minus bold 2 over bold 3 bold italic x.

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