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Fungsi  dan  dirumuskan oleh  dan . Jika , maka   ...

Fungsi begin mathsize 14px style f colon R rightwards arrow R end style dan begin mathsize 14px style g colon R rightwards arrow R end style dirumuskan oleh begin mathsize 14px style f left parenthesis x right parenthesis equals fraction numerator 2 x plus 1 over denominator x minus 2 end fraction comma x not equal to 2 end style dan begin mathsize 14px style g left parenthesis x right parenthesis equals x plus 3 end style. Jika begin mathsize 14px style h left parenthesis x right parenthesis equals left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis end style, maka begin mathsize 14px style h left parenthesis x right parenthesis equals end stylebegin mathsize 14px style... end style 

(Buktikan pula dengan rumus cepat).

  1. begin mathsize 14px style... end style 

  2. begin mathsize 14px style... end style 

Jawaban:

Diketahui :

begin mathsize 14px style f left parenthesis x right parenthesis equals fraction numerator 2 x plus 1 over denominator x minus 2 end fraction comma x not equal to 2 end style 
begin mathsize 14px style g left parenthesis x right parenthesis equals x plus 3 end style

Ditanya :

Jika begin mathsize 14px style h left parenthesis x right parenthesis equals left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis end style, maka begin mathsize 14px style h left parenthesis x right parenthesis equals end style

Jawab :

begin mathsize 14px style left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis equals f left parenthesis g left parenthesis x right parenthesis right parenthesis left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis equals f left parenthesis x plus 3 right parenthesis left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis equals fraction numerator 2 left parenthesis x plus 3 right parenthesis plus 1 over denominator left parenthesis x plus 3 right parenthesis minus 2 end fraction left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis equals fraction numerator 2 x plus 6 plus 1 over denominator x plus 3 minus 2 end fraction left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis equals fraction numerator 2 x plus 7 over denominator x plus 1 end fraction end style 

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