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

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

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

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

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

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

Jawaban:

Diketahui fungsi begin mathsize 14px style f left parenthesis x right parenthesis equals x squared minus 2 x plus 3 end stylebegin mathsize 14px style g left parenthesis x right parenthesis equals x plus 2 end style, dan begin mathsize 14px style h left parenthesis x right parenthesis equals 2 x minus 1 end style.

Pertama, hitung terlebih dahulu fungsi komposisi begin mathsize 14px style open parentheses g ring operator h close parentheses left parenthesis x right parenthesis end style.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses g ring operator h close parentheses left parenthesis x right parenthesis end cell equals cell g left parenthesis h left parenthesis x right parenthesis right parenthesis end cell row blank equals cell g left parenthesis 2 x minus 1 right parenthesis end cell row blank equals cell left parenthesis 2 x minus 1 right parenthesis plus 2 end cell row blank equals cell 2 x plus 1 end cell end table end style 

Selanjutnya, komposisi dari tiga fungsi dapat dicari dengan mensubstitusikan fungsi begin mathsize 14px style x end style pada begin mathsize 14px style f left parenthesis x right parenthesis end style dengan fungsi komposisi begin mathsize 14px style open parentheses g ring operator h close parentheses left parenthesis x right parenthesis end style seperti berikut,

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

Dengan demikian, komposisi dari tiga fungsi begin mathsize 14px style open parentheses f ring operator g ring operator h close parentheses left parenthesis x right parenthesis end style adalah Error converting from MathML to accessible text..

Jadi, jawaban yang tepat adalah B.

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