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Diketahui . Jika  maka  adalah ...

Pertanyaan

Diketahui begin mathsize 14px style open parentheses g blank o blank f close parentheses open parentheses x close parentheses equals fraction numerator 10 x plus 6 over denominator 4 x plus 3 end fraction comma x not equal to negative 3 over 4 end style. Jika begin mathsize 14px style f open parentheses x close parentheses equals 2 x plus 3 end style maka begin mathsize 14px style g open parentheses x close parentheses end style adalah ...

  1. begin mathsize 14px style fraction numerator 5 x minus 9 over denominator 2 x minus 3 end fraction comma x not equal to 3 over 2 end style

  2. begin mathsize 14px style fraction numerator 5 x plus 1 over denominator 2 x minus 3 end fraction comma x not equal to 3 over 2 end style

  3. begin mathsize 14px style fraction numerator 5 x plus 9 over denominator 2 x minus 1 end fraction comma x not equal to 1 half end style

  4. begin mathsize 14px style fraction numerator 2 x plus 1 over denominator 2 x minus 3 end fraction comma x not equal to 3 over 2 end style

  5. begin mathsize 14px style fraction numerator 2 x plus 1 over denominator 2 x minus 1 end fraction comma x not equal to 1 half end style

Pembahasan Soal:

Diketahui:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses g blank o blank f close parentheses open parentheses x close parentheses end cell equals cell fraction numerator 10 x plus 6 over denominator 4 x plus 3 end fraction end cell row cell f open parentheses x close parentheses end cell equals cell 2 x plus 3 end cell end table end style

Ditanyakan:

begin mathsize 14px style g open parentheses x close parentheses equals horizontal ellipsis end style

Jawab:

Misal:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 2 x plus 3 end cell equals cell a space end cell row cell 2 x end cell equals cell a minus 3 end cell row x equals cell fraction numerator a minus 3 over denominator 2 end fraction end cell end table end style

maka, 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses g blank o blank f close parentheses open parentheses x close parentheses end cell equals cell fraction numerator 10 x plus 6 over denominator 4 x plus 3 end fraction end cell row cell g open parentheses f open parentheses x close parentheses close parentheses end cell equals cell fraction numerator 10 x plus 6 over denominator 4 x plus 3 end fraction end cell row cell g open parentheses 2 x plus 3 close parentheses end cell equals cell fraction numerator 10 x plus 6 over denominator 4 x plus 3 end fraction end cell row cell g open parentheses a close parentheses end cell equals cell fraction numerator 10 open parentheses fraction numerator a minus 3 over denominator 2 end fraction close parentheses plus 6 over denominator 4 open parentheses fraction numerator a minus 3 over denominator 2 end fraction close parentheses plus 3 end fraction end cell row cell g open parentheses a close parentheses end cell equals cell fraction numerator 5 a minus 9 over denominator 2 a minus 3 end fraction end cell row cell g open parentheses x close parentheses end cell equals cell fraction numerator 5 x minus 9 over denominator 2 x minus 3 end fraction comma blank x not equal to 3 over 2 end cell end table end style

Jadi, jawaban yang tepat adalah A.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 01 April 2021

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