Pertanyaan

Diketahui dan , maka

Diketahui $begin mathsize 14px style straight f open parentheses straight x close parentheses equals fraction numerator 2 straight x minus 4 over denominator straight x plus 3 end fraction end style$ dan $begin mathsize 14px style straight g open parentheses straight x close parentheses equals fraction numerator 4 minus straight x over denominator 3 straight x plus 5 end fraction end style$ , maka begin mathsize 14px style open parentheses straight f ring operator straight g close parentheses open parentheses straight x close parentheses equals... end style

$begin mathsize 14px style fraction numerator 14 straight x plus 12 over denominator 8 straight x plus 19 end fraction end style$
$begin mathsize 14px style fraction numerator 2 straight x plus 16 over denominator 11 straight x plus 3 end fraction end style$
$begin mathsize 14px style fraction numerator negative 14 straight x minus 12 over denominator 8 straight x plus 19 end fraction end style$
$begin mathsize 14px style fraction numerator 2 straight x minus 16 over denominator 11 straight x minus 3 end fraction end style$
$begin mathsize 14px style fraction numerator negative 14 straight x plus 12 over denominator 8 straight x minus 19 end fraction end style$

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Pembahasan

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses straight f ring operator straight g close parentheses open parentheses straight x close parentheses end cell equals cell straight f open parentheses fraction numerator 4 minus straight x over denominator 3 straight x plus 5 end fraction close parentheses end cell row blank equals cell fraction numerator 2 open parentheses fraction numerator 4 minus straight x over denominator 3 straight x plus 5 end fraction close parentheses minus 4 over denominator open parentheses fraction numerator 4 minus straight x over denominator 3 straight x plus 5 end fraction close parentheses plus 3 end fraction end cell row blank equals cell fraction numerator fraction numerator 8 minus 2 straight x over denominator 3 straight x plus 5 end fraction minus 4 over denominator fraction numerator 4 minus straight x over denominator 3 straight x plus 5 end fraction plus 3 end fraction end cell row blank equals cell fraction numerator fraction numerator 8 minus 2 straight x over denominator 3 straight x plus 5 end fraction minus fraction numerator 4 open parentheses 3 straight x plus 5 close parentheses over denominator 3 straight x plus 5 end fraction over denominator fraction numerator 4 minus straight x over denominator 3 straight x plus 5 end fraction plus fraction numerator 3 open parentheses 3 straight x plus 5 close parentheses over denominator 3 straight x plus 5 end fraction end fraction end cell row blank equals cell fraction numerator fraction numerator 8 minus 2 straight x minus 12 straight x minus 20 over denominator 3 straight x plus 5 end fraction over denominator fraction numerator 4 minus straight x plus 9 straight x plus 15 over denominator 3 straight x plus 5 end fraction end fraction end cell row blank equals cell fraction numerator fraction numerator 8 minus 2 straight x minus 12 straight x minus 20 over denominator 3 straight x plus 5 end fraction over denominator fraction numerator 4 minus straight x plus 9 straight x plus 15 over denominator 3 straight x plus 5 end fraction end fraction end cell row blank equals cell fraction numerator 8 minus 2 straight x minus 12 straight x minus 20 over denominator 4 minus straight x plus 9 straight x plus 15 end fraction end cell row blank equals cell fraction numerator negative 14 straight x minus 12 over denominator 8 straight x plus 19 end fraction end cell end table end style$

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