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Jika diketahui  dan , rumus fungsi  adalah ...

Jika diketahui begin mathsize 14px style open parentheses f ring operator g close parentheses open parentheses x close parentheses equals 4 x squared minus 10 x plus 9 end style dan begin mathsize 14px style g open parentheses x close parentheses equals 2 x plus 3 end style, rumus fungsi begin mathsize 14px style f open parentheses x close parentheses end style adalah ...  

  1. begin mathsize 14px style x squared minus x plus 15 end style      

  2. begin mathsize 14px style x squared minus x plus 33 end style    

  3. begin mathsize 14px style x squared minus 11 x plus 33 end style  

  4. begin mathsize 14px style x squared minus 11 x plus 15 end style     

  5.    begin mathsize 14px style x squared minus 11 x minus 15 end style 

Jawaban:

fungsi begin mathsize 14px style f open parentheses x close parentheses end style  dapat ditentukan dengan cara berikut

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 f open parentheses g open parentheses x close parentheses close parentheses end cell row cell 4 x squared minus 10 x plus 9 end cell equals cell f open parentheses 2 x plus 3 close parentheses end cell end table end style 

misal  begin mathsize 14px style a equals 2 x plus 3 left right arrow x equals fraction numerator a minus 3 over denominator 2 end fraction end style     maka

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 4 open parentheses fraction numerator a minus 3 over denominator 2 end fraction close parentheses squared minus 10 open parentheses fraction numerator a minus 3 over denominator 2 end fraction close parentheses plus 9 end cell equals cell f open parentheses a close parentheses end cell row cell 4 open parentheses fraction numerator a squared minus 6 a plus 9 over denominator 4 end fraction close parentheses minus 5 open parentheses a minus 3 close parentheses plus 9 end cell equals cell f open parentheses a close parentheses end cell row cell a squared minus 6 a plus 9 minus 5 a plus 15 plus 9 end cell equals cell f open parentheses a close parentheses end cell row cell a squared minus 11 a plus 33 end cell equals cell f open parentheses a close parentheses end cell row cell f open parentheses x close parentheses end cell equals cell x squared minus 11 x plus 33 end cell end table end style 

Jadi,jawaban yang tepat adalah C

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