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Pertanyaan

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

  1. begin mathsize 14px style fraction numerator 4 x squared minus 8 x plus 2 over denominator x minus 2 end fraction comma space x not equal to 2 end style 

  2. begin mathsize 14px style fraction numerator 4 x squared minus 8 x plus 6 over denominator x minus 2 end fraction comma space x not equal to 2 end style 

  3. begin mathsize 14px style fraction numerator 4 x squared plus 8 x plus 6 over denominator x minus 2 end fraction comma space x not equal to 2 end style 

  4. begin mathsize 14px style fraction numerator 4 x squared plus 8 x plus 2 over denominator x minus 2 end fraction comma space x not equal to 2 end style 

  5. begin mathsize 14px style fraction numerator 8 x squared minus 4 x plus 6 over denominator x minus 2 end fraction comma space x not equal to 2 end style 

N. Puspita

Master Teacher

Jawaban terverifikasi

Pembahasan

Ingat bahwa table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses f plus g close parentheses end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses x close parentheses end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank f end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses x close parentheses end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank g end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses x close parentheses end cell end table, sehingga

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses f plus g close parentheses open parentheses x close parentheses end cell equals cell f open parentheses x close parentheses plus g open parentheses x close parentheses end cell row blank equals cell fraction numerator 6 over denominator x minus 2 end fraction plus 4 x end cell row blank equals cell fraction numerator 6 plus 4 x open parentheses x minus 2 close parentheses over denominator x minus 2 end fraction end cell row blank equals cell fraction numerator 6 plus 4 x squared minus 8 x over denominator x minus 2 end fraction end cell row blank equals cell fraction numerator 4 x squared minus 8 x plus 6 over denominator x minus 2 end fraction end cell end table 

Agar fungsi tersebut terdefinisi maka penyebut tidak boleh bernilai 0. Sehingga 

table attributes columnalign right center left columnspacing 0px end attributes row cell x minus 2 end cell not equal to 0 row x not equal to 2 end table 

Jadi, jawaban yang tepat adalah B

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