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Diketahui , jika , maka hasil dari  ...

Diketahui begin mathsize 14px style open parentheses f ring operator g close parentheses open parentheses x close parentheses equals fraction numerator 12 x plus 8 over denominator 8 x minus 2 end fraction end style, jika begin mathsize 14px style g open parentheses x close parentheses equals 4 x plus 1 end style, maka hasil dari begin mathsize 14px style f open parentheses 3 close parentheses equals end style ...  

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Jawaban:

Diketahui:

Fungsi komposisi begin mathsize 14px style open parentheses f ring operator g close parentheses open parentheses x close parentheses equals fraction numerator 12 x plus 8 over denominator 8 x minus 2 end fraction end style

Dengan fungsi begin mathsize 14px style g open parentheses x close parentheses equals 4 x plus 1 end style

Misal:

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 3 close parentheses end cell row cell f open parentheses g open parentheses x close parentheses close parentheses end cell equals cell f left parenthesis 3 right parenthesis end cell end table end style 

Akibatnya,

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell g open parentheses x close parentheses end cell equals 3 row cell 4 x plus 1 end cell equals 3 row cell 4 x end cell equals 2 row x equals cell 1 half end cell end table end style 

Maka, 

 begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell f open parentheses 3 close parentheses end cell equals cell open parentheses f ring operator g close parentheses open parentheses 1 half close parentheses end cell row cell f open parentheses 3 close parentheses end cell equals cell fraction numerator 12 open parentheses 1 half close parentheses plus 8 over denominator 8 open parentheses 1 half close parentheses minus 2 end fraction end cell row cell f left parenthesis 3 right parenthesis end cell equals cell fraction numerator 6 plus 8 over denominator 4 minus 2 end fraction end cell row cell f left parenthesis 3 right parenthesis end cell equals cell 14 over 2 end cell row cell f left parenthesis 3 right parenthesis end cell equals 7 end table end style 

Maka, hasil dari begin mathsize 14px style f left parenthesis 3 right parenthesis equals 7 end style.

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