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Jika diketahui  dan . Nilai dari  adalah ....

Jika diketahui begin mathsize 14px style f left parenthesis x right parenthesis equals fraction numerator 5 over denominator x squared minus 4 end fraction end style dan begin mathsize 14px style g left parenthesis x right parenthesis equals 3 x plus 1 end style. Nilai dari begin mathsize 14px style left parenthesis f minus g right parenthesis left parenthesis negative 3 right parenthesis end style adalah ....

  1. begin mathsize 14px style negative 7 end style 

  2. size 14px minus size 14px 3 

  3. size 14px minus size 14px 1 

  4. size 14px 3 

  5. size 14px 9 

Jawaban:

Diketahui:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell f left parenthesis x right parenthesis end cell equals cell fraction numerator 5 over denominator x squared minus 4 end fraction end cell row cell g left parenthesis x right parenthesis end cell equals cell 3 x plus 1 end cell end table end style

sehingga dapat ditentukan nilai dari begin mathsize 14px style open parentheses f minus g close parentheses open parentheses negative 3 close parentheses end style sebagai berikut.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses f minus g close parentheses open parentheses x close parentheses end cell equals cell f open parentheses x close parentheses minus g open parentheses x close parentheses end cell row blank equals cell fraction numerator 5 over denominator x squared minus 4 end fraction minus open parentheses 3 x plus 1 close parentheses end cell row blank equals cell fraction numerator 5 minus open parentheses 3 x plus 1 close parentheses open parentheses x squared minus 4 close parentheses over denominator x squared minus 4 end fraction end cell row cell left parenthesis f minus g right parenthesis left parenthesis negative 3 right parenthesis end cell equals cell fraction numerator 5 minus left parenthesis 3 open parentheses negative 3 close parentheses plus 1 right parenthesis left parenthesis open parentheses negative 3 close parentheses squared minus 4 right parenthesis over denominator open parentheses negative 3 close parentheses squared minus 4 end fraction end cell row blank equals cell fraction numerator 5 minus left parenthesis negative 9 plus 1 right parenthesis left parenthesis 9 minus 4 right parenthesis over denominator 9 minus 4 end fraction end cell row blank equals cell fraction numerator 5 minus left parenthesis negative 8 right parenthesis left parenthesis 5 right parenthesis over denominator blank end fraction end cell row blank equals cell fraction numerator 5 plus 40 over denominator blank end fraction end cell row blank equals cell 45 over 5 end cell row blank equals 9 end table end style  

Jadi, jawaban yang benar adalah E.

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