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Asimtot datar grafik fungsi rasional adalah ...

Asimtot datar grafik fungsi rasional begin mathsize 14px style f open parentheses x close parentheses equals fraction numerator 5 x minus 1 over denominator 3 minus x end fraction comma space x not equal to 3 end style adalah ...

  1. begin mathsize 14px style y equals negative 5 end style 

  2. begin mathsize 14px style y equals negative 3 end style 

  3. begin mathsize 14px style y equals 1 end style 

  4. begin mathsize 14px style y equals 3 end style 

  5. begin mathsize 14px style y equals 5 end style 

Jawaban:

Asimtot datar dari fungsi begin mathsize 14px style f open parentheses x close parentheses end style adalah garis begin mathsize 14px style y equals b end style, sedemikian sehingga begin mathsize 14px style limit as x rightwards arrow plus-or-minus infinity of f open parentheses x close parentheses equals b end style.

begin mathsize 14px style limit as x rightwards arrow plus infinity of fraction numerator 5 x minus 1 over denominator 3 minus x end fraction equals fraction numerator 5 over denominator negative 1 end fraction space space space space space space space space space space space space space space space space space space space space space space space space equals negative 5  limit as x rightwards arrow negative infinity of fraction numerator 5 x minus 1 over denominator 3 minus x end fraction equals fraction numerator 5 over denominator negative 1 end fraction space space space space space space space space space space space space space space space space space space space space space space space space equals negative 5 end style 

Jadi, Asimtot datarnya adalah begin mathsize 14px style y equals negative 5 end style.

Jadi, jawaban yang tepat adalah A.

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