Pertanyaan

Diketahui fungsi f ( x ) = x − 4 2 x + 6 dan g ( x ) = x + 3 2 x − 8 , maka tentukan hasil dari : f ( x ) − g ( x ) = ....

Diketahui fungsi $f (x) = \frac{2 x + 6}{x - 4}$ dan $g (x) = \frac{2 x - 8}{x + 3}$ , maka tentukan hasil dari :

$f (x) - g (x)$ = ....

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Klaim

M. Mariyam

Master Teacher

Mahasiswa/Alumni Institut Pertanian Bogor

Jawaban terverifikasi

Jawaban

$begin mathsize 14px style straight f open parentheses straight x close parentheses minus straight g open parentheses straight x close parentheses equals fraction numerator negative 4 straight x minus 14 over denominator straight x squared minus straight x minus 12 end fraction end style$

Pembahasan

Diketahui : dan , maka = Jadi,

Diketahui : $begin mathsize 14px style straight f open parentheses x close parentheses equals fraction numerator 2 x plus 6 over denominator x minus 4 end fraction end style$ dan $begin mathsize 14px style straight g open parentheses x close parentheses equals fraction numerator 2 x minus 8 over denominator x plus 3 end fraction end style$ ,

maka =

$begin mathsize 14px style table attributes columnalign right center left columnspacing 2px end attributes row cell straight f open parentheses straight x close parentheses minus straight g open parentheses straight x close parentheses end cell equals cell fraction numerator 2 straight x plus 6 over denominator straight x minus 4 end fraction minus fraction numerator 2 straight x minus 8 over denominator straight x plus 3 end fraction end cell row blank equals cell fraction numerator open parentheses straight x plus 3 close parentheses open parentheses 2 straight x plus 6 close parentheses minus open parentheses 2 straight x minus 8 close parentheses open parentheses straight x minus 4 close parentheses over denominator open parentheses straight x minus 4 close parentheses open parentheses straight x plus 3 close parentheses end fraction end cell row blank equals cell fraction numerator 2 straight x squared plus 12 straight x plus 18 minus open parentheses 2 straight x squared minus 16 straight x plus 32 close parentheses over denominator open parentheses straight x minus 4 close parentheses open parentheses straight x plus 3 close parentheses end fraction end cell row blank equals cell fraction numerator negative 4 straight x minus 14 over denominator open parentheses straight x minus 4 close parentheses open parentheses straight x plus 3 close parentheses end fraction end cell row blank equals cell fraction numerator negative 4 straight x minus 14 over denominator straight x squared minus straight x minus 12 end fraction end cell end table end style$

Jadi, $begin mathsize 14px style straight f open parentheses straight x close parentheses minus straight g open parentheses straight x close parentheses equals fraction numerator negative 4 straight x minus 14 over denominator straight x squared minus straight x minus 12 end fraction end style$

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