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Jika diketahui  dan , hasil dari  adalah ....

Jika diketahui begin mathsize 14px style f left parenthesis x right parenthesis equals fraction numerator 3 x plus 6 over denominator x squared minus 4 end fraction end style dan begin mathsize 14px style g left parenthesis x right parenthesis equals fraction numerator 5 over denominator x minus 2 end fraction end style, hasil dari begin mathsize 14px style open parentheses f minus g close parentheses left parenthesis x right parenthesis end style adalah ....

  1. begin mathsize 14px style fraction numerator negative 4 over denominator x minus 2 end fraction comma space x not equal to 2 end style 

  2. undefined 

  3. undefined 

  4. undefined 

  5. undefined 

Jawaban:

Diketahui fungsi begin mathsize 14px style f left parenthesis x right parenthesis equals fraction numerator 3 x plus 6 over denominator x squared minus 4 end fraction end style dan begin mathsize 14px style g left parenthesis x right parenthesis equals fraction numerator 5 over denominator x minus 2 end fraction end style. Hasil pengurangan dari kedua fungsi tersebut adalah

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses f minus g close parentheses left parenthesis x right parenthesis end cell equals cell fraction numerator 3 x plus 6 over denominator x squared minus 4 end fraction minus fraction numerator 5 over denominator x minus 2 end fraction end cell row blank equals cell fraction numerator 3 x plus 6 over denominator x squared minus 4 end fraction minus fraction numerator 5 open parentheses x plus 2 close parentheses over denominator left parenthesis x minus 2 right parenthesis left parenthesis x plus 2 right parenthesis end fraction end cell row blank equals cell fraction numerator 3 x plus 6 over denominator x squared minus 4 end fraction minus fraction numerator 5 x plus 10 over denominator x squared minus 4 end fraction end cell row blank equals cell fraction numerator 3 x plus 6 minus 5 x minus 10 over denominator x squared minus 4 end fraction end cell row blank equals cell fraction numerator negative 2 x minus 4 over denominator x squared minus 4 end fraction end cell row blank equals cell fraction numerator negative 2 up diagonal strike left parenthesis x plus 2 right parenthesis end strike over denominator left parenthesis x minus 2 right parenthesis up diagonal strike left parenthesis x plus 2 right parenthesis end strike end fraction end cell row blank equals cell fraction numerator negative 2 over denominator x minus 2 end fraction comma space x not equal to 2 end cell end table end style 

Dengan demikian, hasil dari begin mathsize 14px style open parentheses f minus g close parentheses left parenthesis x right parenthesis end style adalah undefined.

Jadi, jawaban yang tepat adalah B.

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