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Diketahui . Jika . Nilai

Diketahui begin mathsize 14px style f open parentheses x close parentheses equals 3 x plus 3 comma space g open parentheses x close parentheses equals 2 x plus 5 end style. Jika begin mathsize 14px style open parentheses f ring operator g close parentheses open parentheses a close parentheses equals 5 end style. Nilai begin mathsize 14px style a equals... end style

  1. begin mathsize 14px style negative 1 end style

  2. begin mathsize 14px style negative 2 end style

  3. begin mathsize 14px style negative 3 end style

  4. begin mathsize 14px style 2 end style 

  5. begin mathsize 14px style 1 end style

Jawaban:

Pertama kita menetukan komposisi fungsi begin mathsize 14px style open parentheses f ring operator g close parentheses open parentheses x close parentheses end style

begin mathsize 14px style open parentheses f ring operator g close parentheses open parentheses x close parentheses equals f open parentheses g open parentheses x close parentheses close parentheses open parentheses f ring operator g close parentheses open parentheses x close parentheses equals f open parentheses 2 x plus 5 close parentheses open parentheses f ring operator g close parentheses open parentheses x close parentheses equals 2 open parentheses 2 x plus 5 close parentheses plus 3 open parentheses f ring operator g close parentheses open parentheses x close parentheses equals 4 x plus 10 plus 3 open parentheses f ring operator g close parentheses open parentheses x close parentheses equals 4 x plus 13 end style

Karena diketahui begin mathsize 14px style open parentheses f ring operator g close parentheses open parentheses a close parentheses equals 5 end style , maka:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses f ring operator g close parentheses open parentheses x close parentheses end cell equals cell 4 x plus 13 end cell row cell open parentheses f ring operator g close parentheses open parentheses a close parentheses end cell equals cell 4 a plus 13 end cell row 5 equals cell 4 a plus 13 end cell row cell 4 a end cell equals cell 5 minus 13 end cell row cell 4 a end cell equals cell negative 8 end cell row a equals cell fraction numerator negative 8 over denominator 4 end fraction end cell row a equals cell negative 2 end cell end table end style

Jadi jawaban yang tepat adalah B

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