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Jika ,  dan , fungsi komposisi

Pertanyaan

Jika begin mathsize 14px style f open parentheses x close parentheses equals x squared minus 3 x plus 1 end stylebegin mathsize 14px style g open parentheses x close parentheses equals x plus 4 end style dan begin mathsize 14px style h open parentheses x close parentheses equals 2 x minus 3 end style, fungsi komposisi begin mathsize 14px style open parentheses f ring operator g ring operator h close parentheses open parentheses x close parentheses equals.... end style 

  1. begin mathsize 14px style 4 x squared minus 6 x plus 8 end style 

  2. begin mathsize 14px style 4 x squared minus 2 x minus 1 end style 

  3. begin mathsize 14px style 4 x squared plus 14 x plus 23 end style 

  4. begin mathsize 14px style 2 x squared minus 6 x plus 3 end style 

  5. begin mathsize 14px style 2 x squared minus 6 x plus 7 end style 

Pembahasan Soal:

Menentukan begin mathsize 14px style open parentheses f ring operator g close parentheses open parentheses x close parentheses end style.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis end cell equals cell f open parentheses g open parentheses x close parentheses close parentheses end cell row blank equals cell f open parentheses x plus 4 close parentheses end cell row blank equals cell left parenthesis x plus 4 right parenthesis squared minus 3 left parenthesis x plus 4 right parenthesis plus 1 end cell row blank equals cell x squared plus 8 x plus 16 minus 3 x minus 12 plus 1 end cell row blank equals cell x squared plus 5 x plus 5 end cell end table end style 

Menentukan begin mathsize 14px style left parenthesis f ring operator g ring operator h right parenthesis left parenthesis x right parenthesis end style.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell left parenthesis f ring operator g ring operator h right parenthesis left parenthesis x right parenthesis end cell equals cell open parentheses open parentheses f ring operator g close parentheses ring operator h close parentheses open parentheses x close parentheses end cell row blank equals cell open parentheses 2 x minus 3 close parentheses squared plus 5 open parentheses 2 x minus 3 close parentheses plus 5 end cell row blank equals cell 4 x squared minus 12 x plus 9 plus 10 x minus 15 plus 5 end cell row blank equals cell 4 x squared minus 2 x minus 1 end cell end table end style 

Jadi, jawaban yang tepat adalah B.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 01 April 2021

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