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Carilah fungsi jika diketahui : a. dan

Carilah fungsi begin mathsize 14px style g left parenthesis x right parenthesis end style jika diketahui :

a. begin mathsize 14px style f left parenthesis x right parenthesis equals 3 x minus 3 end style dan begin mathsize 14px style left parenthesis g ring operator f right parenthesis left parenthesis x right parenthesis equals 10 x plus 9 end style 

  1. ...undefined 

  2. ...undefined 

Jawaban:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses g ring operator f close parentheses open parentheses x close parentheses end cell equals cell 10 x plus 9 end cell row cell g left parenthesis f open parentheses x close parentheses right parenthesis end cell equals cell 10 x plus 9 end cell row cell g left parenthesis 3 x minus 3 right parenthesis end cell equals cell 10 x plus 9 end cell end table end style 

Dimisalkan begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row y equals cell 3 x minus 3 end cell end table end style, maka

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row y equals cell 3 x minus 3 end cell row blank left right double arrow cell y plus 3 equals 3 x end cell row blank left right double arrow cell fraction numerator y plus 3 over denominator 3 end fraction equals x end cell end table end style 

Sehingga didapat

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell g left parenthesis 3 x minus 3 right parenthesis end cell equals cell 10 x plus 9 end cell row cell g left parenthesis y right parenthesis end cell equals cell 10 left parenthesis fraction numerator y plus 3 over denominator 3 end fraction right parenthesis plus 9 end cell row cell g left parenthesis y right parenthesis end cell equals cell fraction numerator 10 y plus 30 over denominator 3 end fraction plus 9 end cell row cell g left parenthesis y right parenthesis end cell equals cell 10 over 3 y plus 10 plus 9 end cell row cell g left parenthesis y right parenthesis end cell equals cell 10 over 3 y plus 19 space end cell end table end style 

Dengan kata lain, diperoleh begin mathsize 14px style g left parenthesis x right parenthesis equals 10 over 3 x plus 19 end style

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