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Jika diketahui fungsi  dan , . Fungsi komposisi  a...

Jika diketahui fungsi begin mathsize 14px style f open parentheses x close parentheses equals 3 x squared minus 5 x plus 1 end style dan begin mathsize 14px style g open parentheses x close parentheses equals 4 x plus 1 end style, . Fungsi komposisi begin mathsize 14px style open parentheses g ring operator f close parentheses open parentheses x close parentheses end style adalah ...  

  1. begin mathsize 14px style 12 x squared minus 20 x plus 5 end style     

  2. size 14px 12 size 14px x to the power of size 14px 2 size 14px plus size 14px 20 size 14px x size 14px minus size 14px 5   

  3. begin mathsize 14px style 12 x squared plus 16 x minus 4 end style   

  4. begin mathsize 14px style 3 x squared plus 4 x minus 1 end style   

  5. begin mathsize 14px style 3 x squared minus 4 x plus 1 end style   

Jawaban:

fungsi komposisi begin mathsize 14px style open parentheses g ring operator f close parentheses 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 g ring operator f close parentheses open parentheses x close parentheses end cell equals cell g open parentheses f open parentheses x close parentheses close parentheses end cell row cell space space space space space space space space space space space space space end cell equals cell g open parentheses 3 x squared minus 5 x plus 1 close parentheses end cell row cell space space space space space space space space space space space space space end cell equals cell 4 open parentheses 3 x squared minus 5 x plus 1 close parentheses plus 1 end cell row cell space space space space space space space space space space space space space end cell equals cell 12 x squared minus 20 x plus 4 plus 1 end cell row cell space space space space space space space space space space space space space space end cell equals cell 12 x squared minus 20 x plus 5 end cell row blank blank cell space space space space space space space space space space space space space end cell row blank blank cell space space space space space space space space space space space space space space space end cell end table end style  

Jadi,jawaban yang tepat adalah A

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