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Diketahui fungsi dan , . Tentukan : a. Nilai yang...

Diketahui fungsi begin mathsize 14px style f left parenthesis x right parenthesis equals 2 x plus 3 end style dan begin mathsize 14px style g left parenthesis x right parenthesis equals fraction numerator 2 x plus 3 over denominator 3 x minus 1 end fraction end style, begin mathsize 14px style x not equal to 1 third end style. Tentukan :

a. Nilai size 14px x yang memenuhi begin mathsize 14px style open parentheses f ring operator g close parentheses open parentheses x minus 2 close parentheses equals f left parenthesis x right parenthesis plus 2 g left parenthesis x right parenthesis end style

 

  1. ... undefined 

  2. ... undefined 

Jawaban:

begin mathsize 14px style table attributes columnalign right center left columnspacing 2px end attributes row cell open parentheses f ring operator g close parentheses open parentheses x close parentheses end cell equals cell f open parentheses g open parentheses x close parentheses close parentheses end cell row blank equals cell 2 g open parentheses x close parentheses plus 3 end cell row blank equals cell 2 fraction numerator 2 x plus 3 over denominator 3 x minus 1 end fraction plus 3 end cell row blank equals cell fraction numerator 4 x plus 3 over denominator 3 x minus 1 end fraction plus 3 end cell row cell open parentheses f ring operator g close parentheses open parentheses x minus 2 close parentheses end cell equals cell fraction numerator 4 open parentheses x minus 2 close parentheses plus 3 over denominator 3 open parentheses x minus 2 close parentheses minus 1 end fraction plus 3 end cell row blank equals cell fraction numerator 4 x minus 8 plus 3 over denominator 3 x minus 6 minus 1 end fraction plus 3 end cell row blank equals cell fraction numerator 4 x minus 5 over denominator 3 x minus 7 end fraction plus 3 end cell row blank equals cell fraction numerator 4 x minus 5 plus 9 x minus 21 over denominator 3 x minus 7 end fraction end cell row blank equals cell fraction numerator 13 x minus 26 over denominator 3 x minus 7 end fraction end cell row blank blank blank row cell open parentheses f ring operator g close parentheses open parentheses x minus 2 close parentheses end cell equals cell f open parentheses x close parentheses plus 2 g open parentheses x close parentheses end cell row cell fraction numerator 13 x minus 26 over denominator 3 x minus 7 end fraction end cell equals cell 2 x plus 3 plus fraction numerator 4 x plus 6 over denominator 3 x minus 1 end fraction end cell row cell fraction numerator 13 x minus 26 over denominator 3 x minus 7 end fraction minus fraction numerator 4 x plus 6 over denominator 3 x minus 1 end fraction end cell equals cell 2 x plus 3 end cell row cell 27 x squared minus 81 x plus 68 end cell equals cell 2 x plus 3 open parentheses 9 x squared minus 21 x minus 3 x plus 7 close parentheses end cell row blank blank blank end table end style 

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