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Carilah fungsi jika diketahui : b. dan

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

b. begin mathsize 14px style f left parenthesis x right parenthesis equals x plus 1 end style dan begin mathsize 14px style left parenthesis g ring operator f right parenthesis left parenthesis x right parenthesis equals x squared plus 6 x minus 6 end style 

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Jawaban:

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 x squared plus 6 x minus 6 end cell row cell g left parenthesis f left parenthesis x right parenthesis right parenthesis end cell equals cell x squared plus 6 x minus 6 end cell row cell g left parenthesis x plus 1 right parenthesis end cell equals cell x squared plus 6 x minus 6 end cell end table end style   

Dimisalkan begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank y 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 x end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 1 end table end style, maka

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row y equals cell x plus 1 end cell row blank left right double arrow cell y minus 1 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 x plus 1 right parenthesis end cell equals cell x squared plus 6 x minus 6 end cell row cell g left parenthesis y right parenthesis end cell equals cell open parentheses y minus 1 close parentheses squared plus 6 open parentheses y minus 1 close parentheses minus 6 end cell row cell g left parenthesis y right parenthesis end cell equals cell y squared minus 2 y plus 1 plus 6 y minus 6 minus 6 end cell row cell g left parenthesis y right parenthesis end cell equals cell y squared plus 4 y minus 11 end cell end table end style  

Dengan kata lain, diperoleh begin mathsize 14px style g left parenthesis x right parenthesis equals x squared plus 4 x minus 11 end style

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