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a. Diketahui dan , . Tentukan nilai .

a. Diketahui begin mathsize 14px style g left parenthesis x right parenthesis equals x minus 2 end style dan begin mathsize 14px style open parentheses f ring operator g close parentheses open parentheses x close parentheses 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 nilai begin mathsize 14px style f left parenthesis negative 3 right parenthesis end style

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Jawaban:

Jika begin mathsize 14px style g left parenthesis x right parenthesis equals x minus 2 end style dan begin mathsize 14px style open parentheses f ring operator g close parentheses open parentheses x close parentheses 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. Maka nilai begin mathsize 14px style f left parenthesis negative 3 right parenthesis end style

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

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