Pertanyaan

Diketahui f ( x ) = x + x 1 x dan g ( x ) = x x − x 1 . Nilai ( f × g ) ( 2 1 ) = ....

Diketahui $f (x) = \frac{x}{x + \frac{1}{x}}$ dan $g (x) = \frac{x - \frac{1}{x}}{x}$ . Nilai $(f \times g) (\frac{1}{2}) =$ ....

F. Ayudhita

Master Teacher

Jawaban terverifikasi

Pembahasan

perkalian fungsi : kita cari tau dulu nilai fungsinya : maka,

perkalian fungsi :

kita cari tau dulu nilai fungsinya :

$begin mathsize 14px style f open parentheses 1 half close parentheses equals fraction numerator begin display style 1 half end style over denominator begin display style 1 half end style plus begin display style fraction numerator 1 over denominator begin display style 1 half end style end fraction end style end fraction equals fraction numerator begin display style 1 half end style over denominator begin display style 1 half end style plus begin display style 2 over 1 end style end fraction equals fraction numerator begin display style 1 half end style over denominator begin display style 5 over 2 end style end fraction equals 1 half cross times 2 over 5 equals 1 fifth end style$

$begin mathsize 14px style g open parentheses 1 half close parentheses equals fraction numerator begin display style 1 half end style minus begin display style fraction numerator 1 over denominator begin display style 1 half end style end fraction end style over denominator begin display style 1 half end style end fraction equals fraction numerator begin display style 1 half end style minus begin display style 2 over 1 end style over denominator begin display style 1 half end style end fraction equals fraction numerator negative begin display style 3 over 2 end style over denominator begin display style 1 half end style end fraction equals negative 3 over 2 cross times 2 over 1 equals negative 3 end style$

maka,