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Jika diketahui fungsi  dan , Hasil dari  fungsi  adalah ...

Pertanyaan

Jika diketahui fungsi 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 left parenthesis x right parenthesis 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 4 x squared minus 4 x plus 6 over denominator x minus 2 end fraction comma space x not equal to 2 end style      

Pembahasan Soal:

Hasil dari fungsi begin mathsize 14px style open parentheses f plus g close parentheses open parentheses x close parentheses end style   adalah

begin mathsize 14px style 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 fraction numerator 6 over denominator x minus 2 end fraction plus 4 x end cell row cell space space space space space space space space space space space space space space end cell equals cell fraction numerator 6 over denominator x minus 2 end fraction plus fraction numerator 4 x open parentheses x minus 2 close parentheses over denominator x minus 2 end fraction end cell row cell space space space space space space space space space space space space space space end cell equals cell fraction numerator 6 plus 4 x squared minus 8 x over denominator x minus 2 end fraction end cell row cell space space space space space space space space space space space space space space end cell equals cell 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 cell end table end style 

Jadi, jawaban yang tepat  adalah B

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 11 April 2021

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