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Jika  dan , hitunglah nilai .

Jika begin mathsize 14px style f left parenthesis x right parenthesis equals 2 x plus 3 end style dan begin mathsize 14px style g left parenthesis x right parenthesis equals x squared plus 1 end style, hitunglah nilai begin mathsize 14px style open parentheses f ring operator g close parentheses open parentheses 2 close parentheses end style.

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Jawaban:

Fungsi komposisi adalah penggabungan operasi dua jenis fungsi begin mathsize 14px style f left parenthesis x right parenthesis space dan space g left parenthesis x right parenthesis end style sehingga menghasilkan sebuah fungsi yang baru. Operasi fungsi komposisi biasanya dilambangkan dengan begin mathsize 14px style " ring operator " end style.

begin mathsize 14px style open parentheses f ring operator g close parentheses left parenthesis x right parenthesis end style artinya begin mathsize 14px style g end style dimasukkan ke f. Sehingga, 

  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 left parenthesis g open parentheses x close parentheses right parenthesis end cell row blank equals cell f left parenthesis x squared plus 1 right parenthesis end cell row blank equals cell 2 left parenthesis x squared plus 1 right parenthesis plus 3 end cell row blank equals cell 2 x squared plus 2 plus 3 end cell row blank equals cell 2 x squared plus 5 end cell end table end style

Substitusikan begin mathsize 14px style x equals 2 end style pada begin mathsize 14px style open parentheses f ring operator g close parentheses open parentheses x close parentheses equals 2 x squared plus 5 end style.

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 2 x squared plus 5 end cell row cell left parenthesis f ring operator g right parenthesis left parenthesis 2 right parenthesis end cell equals cell 2 times 2 blank squared plus 5 end cell row blank equals cell 8 plus 5 end cell row blank equals 13 end table end style 

Jadi, begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses f ring operator g close parentheses end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses 2 close parentheses end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 13 end table end style.

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